{
 "cells": [
  {
   "cell_type": "code",
   "id": "initial_id",
   "metadata": {
    "collapsed": true,
    "ExecuteTime": {
     "end_time": "2025-10-17T02:40:50.224953Z",
     "start_time": "2025-10-17T02:40:46.272389Z"
    }
   },
   "source": [
    "import torch\n",
    "from d2l import torch as d2l\n",
    "from torch import nn\n",
    "\n",
    "\n",
    "def transpose_qkv(X, num_heads):\n",
    "    # 输入的 X的形状为(batch_size, 查询/键值对的个数，num_hiddens)\n",
    "    X = X.reshape(X.shape[0], X.shape[1], num_heads, -1)\n",
    "    X = X.permute(0, 2, 1, 3)\n",
    "    # 输出的 X 的形状为(batch_size * num_heads, 查询/键值对的个数，num_hiddens/num_heads)\n",
    "    return X.reshape(-1, X.shape[2], X.shape[3])\n",
    "\n",
    "\n",
    "def transpose_output(X, num_heads):\n",
    "    # 输入的 X 的形状为(batch_size * num_heads, 查询/键值对的个数，num_hiddens/num_heads)\n",
    "    X = X.reshape(-1, num_heads, X.shape[1], X.shape[2])\n",
    "    X = X.permute(0, 2, 1, 3)\n",
    "\n",
    "    # 输出的 X 的形状为(batch_size, 查询/键值对的个数，num_hiddens)\n",
    "    return X.reshape(X.shape[0], X.shape[1], -1)\n",
    "\n",
    "\n",
    "class MultiHeadAttention(nn.Module):\n",
    "    def __init__(self, query_size, key_size, value_size, num_hiddens, num_heads, dropout=0):\n",
    "        super(MultiHeadAttention, self).__init__()\n",
    "        self.W_q = nn.Linear(query_size, num_hiddens, bias=False)\n",
    "        self.W_k = nn.Linear(key_size, num_hiddens, bias=False)\n",
    "        self.W_v = nn.Linear(value_size, num_hiddens, bias=False)\n",
    "        self.W_o = nn.Linear(num_hiddens, num_hiddens, bias=False)\n",
    "        self.attention = d2l.DotProductAttention(dropout)\n",
    "        self.num_heads = num_heads\n",
    "\n",
    "    def forward(self, query, key, value, valid_lens):\n",
    "        queries = transpose_qkv(self.W_q(query), self.num_heads)\n",
    "        keys = transpose_qkv(self.W_k(key), self.num_heads)\n",
    "        values= transpose_qkv(self.W_v(value), self.num_heads)\n",
    "\n",
    "        if valid_lens is not None:\n",
    "            valid_lens = torch.repeat_interleave(valid_lens, self.num_heads, dim=0)\n",
    "\n",
    "        output = self.attention(queries, keys, values, valid_lens)\n",
    "        output = transpose_output(output, self.num_heads)\n",
    "        return self.W_o(output)"
   ],
   "outputs": [],
   "execution_count": 1
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-17T02:40:50.299376Z",
     "start_time": "2025-10-17T02:40:50.234879Z"
    }
   },
   "cell_type": "code",
   "source": [
    "num_hiddens, num_heads = 100, 5\n",
    "attention = MultiHeadAttention(num_hiddens, num_hiddens, num_hiddens, num_hiddens, num_heads, 0.5)\n",
    "\n",
    "batch_size, num_queries, num_kv_pairs = 2, 4, 6\n",
    "query_size, key_size, value_size = num_hiddens, num_hiddens, num_hiddens\n",
    "queries = torch.normal(0, 1, (batch_size, num_queries, query_size))\n",
    "keys = torch.normal(0, 1, (batch_size, num_kv_pairs, key_size))\n",
    "valid_lens = torch.tensor([3, 2]) # 两个样本的有效长度\n",
    "\n",
    "output = attention(queries, keys, keys, valid_lens)\n",
    "print(output.shape)"
   ],
   "id": "31d8277531ee75e5",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "torch.Size([2, 4, 100])\n"
     ]
    }
   ],
   "execution_count": 2
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-17T02:40:50.794684Z",
     "start_time": "2025-10-17T02:40:50.306135Z"
    }
   },
   "cell_type": "code",
   "source": [
    "attention_weights = attention.attention.attention_weights\n",
    "print(attention_weights.shape)\n",
    "attention_weights = attention_weights.reshape(-1, num_heads, attention_weights.shape[1], attention_weights.shape[2])\n",
    "print(attention_weights.shape)\n",
    "attention_weights = attention_weights.permute(1, 0, 2, 3)\n",
    "print(attention_weights.shape)\n",
    "for i in range(num_heads):\n",
    "    weights = attention_weights[i]\n",
    "    d2l.show_heatmaps(weights.unsqueeze(0), xlabel='keys', ylabel='queries')\n"
   ],
   "id": "3a5f3ab6c7f5203d",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "torch.Size([10, 4, 6])\n",
      "torch.Size([2, 5, 4, 6])\n",
      "torch.Size([5, 2, 4, 6])\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 250x250 with 3 Axes>"
      ],
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"196.617375pt\" height=\"105.152879pt\" viewBox=\"0 0 196.617375 105.152879\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n <metadata>\n  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n   <cc:Work>\n    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n    <dc:date>2025-10-17T10:40:50.544586</dc:date>\n    <dc:format>image/svg+xml</dc:format>\n    <dc:creator>\n     <cc:Agent>\n      <dc:title>Matplotlib v3.7.2, https://matplotlib.org/</dc:title>\n     </cc:Agent>\n    </dc:creator>\n   </cc:Work>\n  </rdf:RDF>\n </metadata>\n <defs>\n  <style type=\"text/css\">*{stroke-linejoin: round; stroke-linecap: butt}</style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 105.152879 \nL 196.617375 105.152879 \nL 196.617375 0 \nL 0 0 \nz\n\" style=\"fill: #ffffff\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 43.78125 67.403064 \nL 94.508523 67.403064 \nL 94.508523 33.584882 \nL 43.78125 33.584882 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#p1664659369)\">\n    <image xlink:href=\"data:image/png;base64,\niVBORw0KGgoAAAANSUhEUgAAAEcAAAAvCAYAAACxF9coAAAA5UlEQVR4nO3ZsQnCUBRAUfNJKYhgY621iAsoDmDhAi7gDtYOIDiCYG2hjpEVBFtBhIiFbnDJK4Ip7qnf/wmX14Rkn83q24ooy9D4enuqPLt/3UJ31y39+wWazDjAOMA4wDjAOMA4wDjAOMA4wDggu/T6oW+r2XIUesD7/qg82z6cQ3fXzc0BxgHGAcYBxgHGAcYBxgHGAcYBxgH5ZNgNHXgWsX9LKWWh+SZxc4BxgHGAcYBxgHGAcYBxgHGAcUDemY9DB467a2h+MR2E5pvEzQHGAcYBxgHGAcYBxgHGAcYBxgHGAT9B4RZpzlN9dAAAAABJRU5ErkJggg==\" id=\"imagef0887c8cef\" transform=\"scale(1 -1) translate(0 -33.84)\" x=\"43.78125\" y=\"-33.563064\" width=\"51.12\" height=\"33.84\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <defs>\n       <path id=\"m8d4f5c9333\" d=\"M 0 0 \nL 0 3.5 \n\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </defs>\n      <g>\n       <use xlink:href=\"#m8d4f5c9333\" x=\"48.008523\" y=\"67.403064\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- 0 -->\n      <g transform=\"translate(44.827273 82.001501) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"DejaVuSans-30\" d=\"M 2034 4250 \nQ 1547 4250 1301 3770 \nQ 1056 3291 1056 2328 \nQ 1056 1369 1301 889 \nQ 1547 409 2034 409 \nQ 2525 409 2770 889 \nQ 3016 1369 3016 2328 \nQ 3016 3291 2770 3770 \nQ 2525 4250 2034 4250 \nz\nM 2034 4750 \nQ 2819 4750 3233 4129 \nQ 3647 3509 3647 2328 \nQ 3647 1150 3233 529 \nQ 2819 -91 2034 -91 \nQ 1250 -91 836 529 \nQ 422 1150 422 2328 \nQ 422 3509 836 4129 \nQ 1250 4750 2034 4750 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <g>\n       <use xlink:href=\"#m8d4f5c9333\" x=\"90.28125\" y=\"67.403064\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- 5 -->\n      <g transform=\"translate(87.1 82.001501) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"DejaVuSans-35\" d=\"M 691 4666 \nL 3169 4666 \nL 3169 4134 \nL 1269 4134 \nL 1269 2991 \nQ 1406 3038 1543 3061 \nQ 1681 3084 1819 3084 \nQ 2600 3084 3056 2656 \nQ 3513 2228 3513 1497 \nQ 3513 744 3044 326 \nQ 2575 -91 1722 -91 \nQ 1428 -91 1123 -41 \nQ 819 9 494 109 \nL 494 744 \nQ 775 591 1075 516 \nQ 1375 441 1709 441 \nQ 2250 441 2565 725 \nQ 2881 1009 2881 1497 \nQ 2881 1984 2565 2268 \nQ 2250 2553 1709 2553 \nQ 1456 2553 1204 2497 \nQ 953 2441 691 2322 \nL 691 4666 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-35\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_3\">\n     <!-- keys -->\n     <g transform=\"translate(57.790199 95.679626) scale(0.1 -0.1)\">\n      <defs>\n       <path id=\"DejaVuSans-6b\" d=\"M 581 4863 \nL 1159 4863 \nL 1159 1991 \nL 2875 3500 \nL 3609 3500 \nL 1753 1863 \nL 3688 0 \nL 2938 0 \nL 1159 1709 \nL 1159 0 \nL 581 0 \nL 581 4863 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-65\" d=\"M 3597 1894 \nL 3597 1613 \nL 953 1613 \nQ 991 1019 1311 708 \nQ 1631 397 2203 397 \nQ 2534 397 2845 478 \nQ 3156 559 3463 722 \nL 3463 178 \nQ 3153 47 2828 -22 \nQ 2503 -91 2169 -91 \nQ 1331 -91 842 396 \nQ 353 884 353 1716 \nQ 353 2575 817 3079 \nQ 1281 3584 2069 3584 \nQ 2775 3584 3186 3129 \nQ 3597 2675 3597 1894 \nz\nM 3022 2063 \nQ 3016 2534 2758 2815 \nQ 2500 3097 2075 3097 \nQ 1594 3097 1305 2825 \nQ 1016 2553 972 2059 \nL 3022 2063 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-79\" d=\"M 2059 -325 \nQ 1816 -950 1584 -1140 \nQ 1353 -1331 966 -1331 \nL 506 -1331 \nL 506 -850 \nL 844 -850 \nQ 1081 -850 1212 -737 \nQ 1344 -625 1503 -206 \nL 1606 56 \nL 191 3500 \nL 800 3500 \nL 1894 763 \nL 2988 3500 \nL 3597 3500 \nL 2059 -325 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-73\" d=\"M 2834 3397 \nL 2834 2853 \nQ 2591 2978 2328 3040 \nQ 2066 3103 1784 3103 \nQ 1356 3103 1142 2972 \nQ 928 2841 928 2578 \nQ 928 2378 1081 2264 \nQ 1234 2150 1697 2047 \nL 1894 2003 \nQ 2506 1872 2764 1633 \nQ 3022 1394 3022 966 \nQ 3022 478 2636 193 \nQ 2250 -91 1575 -91 \nQ 1294 -91 989 -36 \nQ 684 19 347 128 \nL 347 722 \nQ 666 556 975 473 \nQ 1284 391 1588 391 \nQ 1994 391 2212 530 \nQ 2431 669 2431 922 \nQ 2431 1156 2273 1281 \nQ 2116 1406 1581 1522 \nL 1381 1569 \nQ 847 1681 609 1914 \nQ 372 2147 372 2553 \nQ 372 3047 722 3315 \nQ 1072 3584 1716 3584 \nQ 2034 3584 2315 3537 \nQ 2597 3491 2834 3397 \nz\n\" transform=\"scale(0.015625)\"/>\n      </defs>\n      <use xlink:href=\"#DejaVuSans-6b\"/>\n      <use xlink:href=\"#DejaVuSans-65\" x=\"54.285156\"/>\n      <use xlink:href=\"#DejaVuSans-79\" x=\"115.808594\"/>\n      <use xlink:href=\"#DejaVuSans-73\" x=\"174.988281\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_3\">\n      <defs>\n       <path id=\"md9932cd5a3\" d=\"M 0 0 \nL -3.5 0 \n\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </defs>\n      <g>\n       <use xlink:href=\"#md9932cd5a3\" x=\"43.78125\" y=\"37.812155\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- 0.0 -->\n      <g transform=\"translate(20.878125 41.611373) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"DejaVuSans-2e\" d=\"M 684 794 \nL 1344 794 \nL 1344 0 \nL 684 0 \nL 684 794 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_4\">\n      <g>\n       <use xlink:href=\"#md9932cd5a3\" x=\"43.78125\" y=\"58.948518\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- 2.5 -->\n      <g transform=\"translate(20.878125 62.747737) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"DejaVuSans-32\" d=\"M 1228 531 \nL 3431 531 \nL 3431 0 \nL 469 0 \nL 469 531 \nQ 828 903 1448 1529 \nQ 2069 2156 2228 2338 \nQ 2531 2678 2651 2914 \nQ 2772 3150 2772 3378 \nQ 2772 3750 2511 3984 \nQ 2250 4219 1831 4219 \nQ 1534 4219 1204 4116 \nQ 875 4013 500 3803 \nL 500 4441 \nQ 881 4594 1212 4672 \nQ 1544 4750 1819 4750 \nQ 2544 4750 2975 4387 \nQ 3406 4025 3406 3419 \nQ 3406 3131 3298 2873 \nQ 3191 2616 2906 2266 \nQ 2828 2175 2409 1742 \nQ 1991 1309 1228 531 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-32\"/>\n       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n       <use xlink:href=\"#DejaVuSans-35\" x=\"95.410156\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_6\">\n     <!-- queries -->\n     <g transform=\"translate(14.798438 69.039285) rotate(-90) scale(0.1 -0.1)\">\n      <defs>\n       <path id=\"DejaVuSans-71\" d=\"M 947 1747 \nQ 947 1113 1208 752 \nQ 1469 391 1925 391 \nQ 2381 391 2643 752 \nQ 2906 1113 2906 1747 \nQ 2906 2381 2643 2742 \nQ 2381 3103 1925 3103 \nQ 1469 3103 1208 2742 \nQ 947 2381 947 1747 \nz\nM 2906 525 \nQ 2725 213 2448 61 \nQ 2172 -91 1784 -91 \nQ 1150 -91 751 415 \nQ 353 922 353 1747 \nQ 353 2572 751 3078 \nQ 1150 3584 1784 3584 \nQ 2172 3584 2448 3432 \nQ 2725 3281 2906 2969 \nL 2906 3500 \nL 3481 3500 \nL 3481 -1331 \nL 2906 -1331 \nL 2906 525 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-75\" d=\"M 544 1381 \nL 544 3500 \nL 1119 3500 \nL 1119 1403 \nQ 1119 906 1312 657 \nQ 1506 409 1894 409 \nQ 2359 409 2629 706 \nQ 2900 1003 2900 1516 \nL 2900 3500 \nL 3475 3500 \nL 3475 0 \nL 2900 0 \nL 2900 538 \nQ 2691 219 2414 64 \nQ 2138 -91 1772 -91 \nQ 1169 -91 856 284 \nQ 544 659 544 1381 \nz\nM 1991 3584 \nL 1991 3584 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-72\" d=\"M 2631 2963 \nQ 2534 3019 2420 3045 \nQ 2306 3072 2169 3072 \nQ 1681 3072 1420 2755 \nQ 1159 2438 1159 1844 \nL 1159 0 \nL 581 0 \nL 581 3500 \nL 1159 3500 \nL 1159 2956 \nQ 1341 3275 1631 3429 \nQ 1922 3584 2338 3584 \nQ 2397 3584 2469 3576 \nQ 2541 3569 2628 3553 \nL 2631 2963 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-69\" d=\"M 603 3500 \nL 1178 3500 \nL 1178 0 \nL 603 0 \nL 603 3500 \nz\nM 603 4863 \nL 1178 4863 \nL 1178 4134 \nL 603 4134 \nL 603 4863 \nz\n\" transform=\"scale(0.015625)\"/>\n      </defs>\n      <use xlink:href=\"#DejaVuSans-71\"/>\n      <use xlink:href=\"#DejaVuSans-75\" x=\"63.476562\"/>\n      <use xlink:href=\"#DejaVuSans-65\" x=\"126.855469\"/>\n      <use xlink:href=\"#DejaVuSans-72\" x=\"188.378906\"/>\n      <use xlink:href=\"#DejaVuSans-69\" x=\"229.492188\"/>\n      <use xlink:href=\"#DejaVuSans-65\" x=\"257.275391\"/>\n      <use xlink:href=\"#DejaVuSans-73\" x=\"318.798828\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 43.78125 67.403064 \nL 43.78125 33.584882 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 94.508523 67.403064 \nL 94.508523 33.584882 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 43.78125 67.403064 \nL 94.508523 67.403064 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 43.78125 33.584882 \nL 94.508523 33.584882 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n  </g>\n  <g id=\"axes_2\">\n   <g id=\"patch_7\">\n    <path d=\"M 104.653977 67.403064 \nL 155.38125 67.403064 \nL 155.38125 33.584882 \nL 104.653977 33.584882 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#p252ca42a60)\">\n    <image xlink:href=\"data:image/png;base64,\niVBORw0KGgoAAAANSUhEUgAAAEcAAAAvCAYAAACxF9coAAAAwklEQVR4nO3ZMQrCQBBA0RhWMF2QYGORxhuZI+cUNlYiWqYIEgu9wYcpQqb4r56F4TPd7sbT+VcFPJdvZLwaHrfQfCb11gtkZhxgHGAcYBxgHGAcYBxgHGAcYBxQxmkOPbj2x5VWycfLAcYBxgHGAcYBxgHGAcYBxgHGAcYB5f6J/UN1XbPSKvl4OcA4wDjAOMA4wDjAOMA4wDjAOKBcDvvQg9c79pXThqZz8XKAcYBxgHGAcYBxgHGAcYBxgHGAccAfsW0QhHV2kIMAAAAASUVORK5CYII=\" id=\"imagede50beeff0\" transform=\"scale(1 -1) translate(0 -33.84)\" x=\"104.653977\" y=\"-33.563064\" width=\"51.12\" height=\"33.84\"/>\n   </g>\n   <g id=\"matplotlib.axis_3\">\n    <g id=\"xtick_3\">\n     <g id=\"line2d_5\">\n      <g>\n       <use xlink:href=\"#m8d4f5c9333\" x=\"108.88125\" y=\"67.403064\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_7\">\n      <!-- 0 -->\n      <g transform=\"translate(105.7 82.001501) scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_6\">\n      <g>\n       <use xlink:href=\"#m8d4f5c9333\" x=\"151.153977\" y=\"67.403064\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 5 -->\n      <g transform=\"translate(147.972727 82.001501) scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-35\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_9\">\n     <!-- keys -->\n     <g transform=\"translate(118.662926 95.679626) scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-6b\"/>\n      <use xlink:href=\"#DejaVuSans-65\" x=\"54.285156\"/>\n      <use xlink:href=\"#DejaVuSans-79\" x=\"115.808594\"/>\n      <use xlink:href=\"#DejaVuSans-73\" x=\"174.988281\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_4\">\n    <g id=\"ytick_3\">\n     <g id=\"line2d_7\">\n      <g>\n       <use xlink:href=\"#md9932cd5a3\" x=\"104.653977\" y=\"37.812155\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_8\">\n      <g>\n       <use xlink:href=\"#md9932cd5a3\" x=\"104.653977\" y=\"58.948518\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"patch_8\">\n    <path d=\"M 104.653977 67.403064 \nL 104.653977 33.584882 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_9\">\n    <path d=\"M 155.38125 67.403064 \nL 155.38125 33.584882 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_10\">\n    <path d=\"M 104.653977 67.403064 \nL 155.38125 67.403064 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_11\">\n    <path d=\"M 104.653977 33.584882 \nL 155.38125 33.584882 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n  </g>\n  <g id=\"axes_3\">\n   <g id=\"patch_12\">\n    <path d=\"M 162.35625 92.073973 \nL 166.51425 92.073973 \nL 166.51425 8.913973 \nL 162.35625 8.913973 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <image xlink:href=\"data:image/png;base64,\niVBORw0KGgoAAAANSUhEUgAAAAYAAAB0CAYAAACmJkOCAAAAyElEQVR4nM2WSwrEMAxDXcj9zzqbblp/egG/gEII02WEJMt2Qq+6f2XNN6yyO7dhGQQQo1qLFY9ij30AB5Rz6B7uIqNQKkiKAUwuAyRV8e6SmjTxgAcy5An+qTkD+vrQNVgw15sI5qWXi909kLwCpTCgDPgB83dfuXpVFDAD3vakR18H3KEqWJKJVCBAyTEgSukBw2WP9thsJP0zOAEoFcjoz22EUQ5kyFVhwH5BZx4MkBQ2Ee7mhAEjX2E88sxRCluyYg4MquoD0XoQUGMmzEcAAAAASUVORK5CYII=\" id=\"imagee0ec0cf3d6\" transform=\"scale(1 -1) translate(0 -83.52)\" x=\"162\" y=\"-8.64\" width=\"4.32\" height=\"83.52\"/>\n   <g id=\"matplotlib.axis_5\"/>\n   <g id=\"matplotlib.axis_6\">\n    <g id=\"ytick_5\">\n     <g id=\"line2d_9\">\n      <defs>\n       <path id=\"m3b95776182\" d=\"M 0 0 \nL 3.5 0 \n\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </defs>\n      <g>\n       <use xlink:href=\"#m3b95776182\" x=\"166.51425\" y=\"92.073973\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- 0.0 -->\n      <g transform=\"translate(173.51425 95.873192) scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_10\">\n      <g>\n       <use xlink:href=\"#m3b95776182\" x=\"166.51425\" y=\"65.049055\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 0.2 -->\n      <g transform=\"translate(173.51425 68.848274) scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n       <use xlink:href=\"#DejaVuSans-32\" x=\"95.410156\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_7\">\n     <g id=\"line2d_11\">\n      <g>\n       <use xlink:href=\"#m3b95776182\" x=\"166.51425\" y=\"38.024137\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 0.4 -->\n      <g transform=\"translate(173.51425 41.823356) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"DejaVuSans-34\" d=\"M 2419 4116 \nL 825 1625 \nL 2419 1625 \nL 2419 4116 \nz\nM 2253 4666 \nL 3047 4666 \nL 3047 1625 \nL 3713 1625 \nL 3713 1100 \nL 3047 1100 \nL 3047 0 \nL 2419 0 \nL 2419 1100 \nL 313 1100 \nL 313 1709 \nL 2253 4666 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n       <use xlink:href=\"#DejaVuSans-34\" x=\"95.410156\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_8\">\n     <g id=\"line2d_12\">\n      <g>\n       <use xlink:href=\"#m3b95776182\" x=\"166.51425\" y=\"10.999219\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 0.6 -->\n      <g transform=\"translate(173.51425 14.798438) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"DejaVuSans-36\" d=\"M 2113 2584 \nQ 1688 2584 1439 2293 \nQ 1191 2003 1191 1497 \nQ 1191 994 1439 701 \nQ 1688 409 2113 409 \nQ 2538 409 2786 701 \nQ 3034 994 3034 1497 \nQ 3034 2003 2786 2293 \nQ 2538 2584 2113 2584 \nz\nM 3366 4563 \nL 3366 3988 \nQ 3128 4100 2886 4159 \nQ 2644 4219 2406 4219 \nQ 1781 4219 1451 3797 \nQ 1122 3375 1075 2522 \nQ 1259 2794 1537 2939 \nQ 1816 3084 2150 3084 \nQ 2853 3084 3261 2657 \nQ 3669 2231 3669 1497 \nQ 3669 778 3244 343 \nQ 2819 -91 2113 -91 \nQ 1303 -91 875 529 \nQ 447 1150 447 2328 \nQ 447 3434 972 4092 \nQ 1497 4750 2381 4750 \nQ 2619 4750 2861 4703 \nQ 3103 4656 3366 4563 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n       <use xlink:href=\"#DejaVuSans-36\" x=\"95.410156\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"LineCollection_1\"/>\n   <g id=\"patch_13\">\n    <path d=\"M 162.35625 92.073973 \nL 164.43525 92.073973 \nL 166.51425 92.073973 \nL 166.51425 8.913973 \nL 164.43525 8.913973 \nL 162.35625 8.913973 \nL 162.35625 92.073973 \nz\n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p1664659369\">\n   <rect x=\"43.78125\" y=\"33.584882\" width=\"50.727273\" height=\"33.818182\"/>\n  </clipPath>\n  <clipPath id=\"p252ca42a60\">\n   <rect x=\"104.653977\" y=\"33.584882\" width=\"50.727273\" height=\"33.818182\"/>\n  </clipPath>\n </defs>\n</svg>\n"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 250x250 with 3 Axes>"
      ],
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"196.617375pt\" height=\"103.438906pt\" viewBox=\"0 0 196.617375 103.438906\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n <metadata>\n  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n   <cc:Work>\n    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n    <dc:date>2025-10-17T10:40:50.618405</dc:date>\n    <dc:format>image/svg+xml</dc:format>\n    <dc:creator>\n     <cc:Agent>\n      <dc:title>Matplotlib v3.7.2, https://matplotlib.org/</dc:title>\n     </cc:Agent>\n    </dc:creator>\n   </cc:Work>\n  </rdf:RDF>\n </metadata>\n <defs>\n  <style type=\"text/css\">*{stroke-linejoin: round; stroke-linecap: butt}</style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 103.438906 \nL 196.617375 103.438906 \nL 196.617375 0 \nL 0 0 \nz\n\" style=\"fill: #ffffff\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 43.78125 65.689091 \nL 94.508523 65.689091 \nL 94.508523 31.870909 \nL 43.78125 31.870909 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#pa58b848d97)\">\n    <image xlink:href=\"data:image/png;base64,\niVBORw0KGgoAAAANSUhEUgAAAEcAAAAvCAYAAACxF9coAAAA6ElEQVR4nO3aLQ7CQBBA4RbqweExTTDgEZwARcIFOAGGhGC4DRrDAUDzo7CQIHAkFWDhBi8d0VDxPj0727ysbLpotr5JwGrUjYwnz0dReja/nEK7q9b49wfUmXGAcYBxgHGAcYBxgHGAcYBxgHFAtp4OQge2u2vsgjQtPZuHNlfPlwOMA4wDjAOMA4wDjAOMA4wDjAOMA7L55hg6MOu0Q/P9cS80Xye+HGAcYBxgHGAcYBxgHGAcYBxgHJC+J8PQb2/nwz10wb74lJ5dvm6h3VXz5QDjAOMA4wDjAOMA4wDjAOMA4wDjgB/NbBesjUDgpAAAAABJRU5ErkJggg==\" id=\"image7daefa9935\" transform=\"scale(1 -1) translate(0 -33.84)\" x=\"43.78125\" y=\"-31.849091\" width=\"51.12\" height=\"33.84\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <defs>\n       <path id=\"meeaf15f3ad\" d=\"M 0 0 \nL 0 3.5 \n\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </defs>\n      <g>\n       <use xlink:href=\"#meeaf15f3ad\" x=\"48.008523\" y=\"65.689091\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- 0 -->\n      <g transform=\"translate(44.827273 80.287528) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"DejaVuSans-30\" d=\"M 2034 4250 \nQ 1547 4250 1301 3770 \nQ 1056 3291 1056 2328 \nQ 1056 1369 1301 889 \nQ 1547 409 2034 409 \nQ 2525 409 2770 889 \nQ 3016 1369 3016 2328 \nQ 3016 3291 2770 3770 \nQ 2525 4250 2034 4250 \nz\nM 2034 4750 \nQ 2819 4750 3233 4129 \nQ 3647 3509 3647 2328 \nQ 3647 1150 3233 529 \nQ 2819 -91 2034 -91 \nQ 1250 -91 836 529 \nQ 422 1150 422 2328 \nQ 422 3509 836 4129 \nQ 1250 4750 2034 4750 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <g>\n       <use xlink:href=\"#meeaf15f3ad\" x=\"90.28125\" y=\"65.689091\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- 5 -->\n      <g transform=\"translate(87.1 80.287528) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"DejaVuSans-35\" d=\"M 691 4666 \nL 3169 4666 \nL 3169 4134 \nL 1269 4134 \nL 1269 2991 \nQ 1406 3038 1543 3061 \nQ 1681 3084 1819 3084 \nQ 2600 3084 3056 2656 \nQ 3513 2228 3513 1497 \nQ 3513 744 3044 326 \nQ 2575 -91 1722 -91 \nQ 1428 -91 1123 -41 \nQ 819 9 494 109 \nL 494 744 \nQ 775 591 1075 516 \nQ 1375 441 1709 441 \nQ 2250 441 2565 725 \nQ 2881 1009 2881 1497 \nQ 2881 1984 2565 2268 \nQ 2250 2553 1709 2553 \nQ 1456 2553 1204 2497 \nQ 953 2441 691 2322 \nL 691 4666 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-35\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_3\">\n     <!-- keys -->\n     <g transform=\"translate(57.790199 93.965653) scale(0.1 -0.1)\">\n      <defs>\n       <path id=\"DejaVuSans-6b\" d=\"M 581 4863 \nL 1159 4863 \nL 1159 1991 \nL 2875 3500 \nL 3609 3500 \nL 1753 1863 \nL 3688 0 \nL 2938 0 \nL 1159 1709 \nL 1159 0 \nL 581 0 \nL 581 4863 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-65\" d=\"M 3597 1894 \nL 3597 1613 \nL 953 1613 \nQ 991 1019 1311 708 \nQ 1631 397 2203 397 \nQ 2534 397 2845 478 \nQ 3156 559 3463 722 \nL 3463 178 \nQ 3153 47 2828 -22 \nQ 2503 -91 2169 -91 \nQ 1331 -91 842 396 \nQ 353 884 353 1716 \nQ 353 2575 817 3079 \nQ 1281 3584 2069 3584 \nQ 2775 3584 3186 3129 \nQ 3597 2675 3597 1894 \nz\nM 3022 2063 \nQ 3016 2534 2758 2815 \nQ 2500 3097 2075 3097 \nQ 1594 3097 1305 2825 \nQ 1016 2553 972 2059 \nL 3022 2063 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-79\" d=\"M 2059 -325 \nQ 1816 -950 1584 -1140 \nQ 1353 -1331 966 -1331 \nL 506 -1331 \nL 506 -850 \nL 844 -850 \nQ 1081 -850 1212 -737 \nQ 1344 -625 1503 -206 \nL 1606 56 \nL 191 3500 \nL 800 3500 \nL 1894 763 \nL 2988 3500 \nL 3597 3500 \nL 2059 -325 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-73\" d=\"M 2834 3397 \nL 2834 2853 \nQ 2591 2978 2328 3040 \nQ 2066 3103 1784 3103 \nQ 1356 3103 1142 2972 \nQ 928 2841 928 2578 \nQ 928 2378 1081 2264 \nQ 1234 2150 1697 2047 \nL 1894 2003 \nQ 2506 1872 2764 1633 \nQ 3022 1394 3022 966 \nQ 3022 478 2636 193 \nQ 2250 -91 1575 -91 \nQ 1294 -91 989 -36 \nQ 684 19 347 128 \nL 347 722 \nQ 666 556 975 473 \nQ 1284 391 1588 391 \nQ 1994 391 2212 530 \nQ 2431 669 2431 922 \nQ 2431 1156 2273 1281 \nQ 2116 1406 1581 1522 \nL 1381 1569 \nQ 847 1681 609 1914 \nQ 372 2147 372 2553 \nQ 372 3047 722 3315 \nQ 1072 3584 1716 3584 \nQ 2034 3584 2315 3537 \nQ 2597 3491 2834 3397 \nz\n\" transform=\"scale(0.015625)\"/>\n      </defs>\n      <use xlink:href=\"#DejaVuSans-6b\"/>\n      <use xlink:href=\"#DejaVuSans-65\" x=\"54.285156\"/>\n      <use xlink:href=\"#DejaVuSans-79\" x=\"115.808594\"/>\n      <use xlink:href=\"#DejaVuSans-73\" x=\"174.988281\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_3\">\n      <defs>\n       <path id=\"m2e36f5581e\" d=\"M 0 0 \nL -3.5 0 \n\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </defs>\n      <g>\n       <use xlink:href=\"#m2e36f5581e\" x=\"43.78125\" y=\"36.098182\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- 0.0 -->\n      <g transform=\"translate(20.878125 39.897401) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"DejaVuSans-2e\" d=\"M 684 794 \nL 1344 794 \nL 1344 0 \nL 684 0 \nL 684 794 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_4\">\n      <g>\n       <use xlink:href=\"#m2e36f5581e\" x=\"43.78125\" y=\"57.234545\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- 2.5 -->\n      <g transform=\"translate(20.878125 61.033764) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"DejaVuSans-32\" d=\"M 1228 531 \nL 3431 531 \nL 3431 0 \nL 469 0 \nL 469 531 \nQ 828 903 1448 1529 \nQ 2069 2156 2228 2338 \nQ 2531 2678 2651 2914 \nQ 2772 3150 2772 3378 \nQ 2772 3750 2511 3984 \nQ 2250 4219 1831 4219 \nQ 1534 4219 1204 4116 \nQ 875 4013 500 3803 \nL 500 4441 \nQ 881 4594 1212 4672 \nQ 1544 4750 1819 4750 \nQ 2544 4750 2975 4387 \nQ 3406 4025 3406 3419 \nQ 3406 3131 3298 2873 \nQ 3191 2616 2906 2266 \nQ 2828 2175 2409 1742 \nQ 1991 1309 1228 531 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-32\"/>\n       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n       <use xlink:href=\"#DejaVuSans-35\" x=\"95.410156\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_6\">\n     <!-- queries -->\n     <g transform=\"translate(14.798438 67.325313) rotate(-90) scale(0.1 -0.1)\">\n      <defs>\n       <path id=\"DejaVuSans-71\" d=\"M 947 1747 \nQ 947 1113 1208 752 \nQ 1469 391 1925 391 \nQ 2381 391 2643 752 \nQ 2906 1113 2906 1747 \nQ 2906 2381 2643 2742 \nQ 2381 3103 1925 3103 \nQ 1469 3103 1208 2742 \nQ 947 2381 947 1747 \nz\nM 2906 525 \nQ 2725 213 2448 61 \nQ 2172 -91 1784 -91 \nQ 1150 -91 751 415 \nQ 353 922 353 1747 \nQ 353 2572 751 3078 \nQ 1150 3584 1784 3584 \nQ 2172 3584 2448 3432 \nQ 2725 3281 2906 2969 \nL 2906 3500 \nL 3481 3500 \nL 3481 -1331 \nL 2906 -1331 \nL 2906 525 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-75\" d=\"M 544 1381 \nL 544 3500 \nL 1119 3500 \nL 1119 1403 \nQ 1119 906 1312 657 \nQ 1506 409 1894 409 \nQ 2359 409 2629 706 \nQ 2900 1003 2900 1516 \nL 2900 3500 \nL 3475 3500 \nL 3475 0 \nL 2900 0 \nL 2900 538 \nQ 2691 219 2414 64 \nQ 2138 -91 1772 -91 \nQ 1169 -91 856 284 \nQ 544 659 544 1381 \nz\nM 1991 3584 \nL 1991 3584 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-72\" d=\"M 2631 2963 \nQ 2534 3019 2420 3045 \nQ 2306 3072 2169 3072 \nQ 1681 3072 1420 2755 \nQ 1159 2438 1159 1844 \nL 1159 0 \nL 581 0 \nL 581 3500 \nL 1159 3500 \nL 1159 2956 \nQ 1341 3275 1631 3429 \nQ 1922 3584 2338 3584 \nQ 2397 3584 2469 3576 \nQ 2541 3569 2628 3553 \nL 2631 2963 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-69\" d=\"M 603 3500 \nL 1178 3500 \nL 1178 0 \nL 603 0 \nL 603 3500 \nz\nM 603 4863 \nL 1178 4863 \nL 1178 4134 \nL 603 4134 \nL 603 4863 \nz\n\" transform=\"scale(0.015625)\"/>\n      </defs>\n      <use xlink:href=\"#DejaVuSans-71\"/>\n      <use xlink:href=\"#DejaVuSans-75\" x=\"63.476562\"/>\n      <use xlink:href=\"#DejaVuSans-65\" x=\"126.855469\"/>\n      <use xlink:href=\"#DejaVuSans-72\" x=\"188.378906\"/>\n      <use xlink:href=\"#DejaVuSans-69\" x=\"229.492188\"/>\n      <use xlink:href=\"#DejaVuSans-65\" x=\"257.275391\"/>\n      <use xlink:href=\"#DejaVuSans-73\" x=\"318.798828\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 43.78125 65.689091 \nL 43.78125 31.870909 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 94.508523 65.689091 \nL 94.508523 31.870909 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 43.78125 65.689091 \nL 94.508523 65.689091 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 43.78125 31.870909 \nL 94.508523 31.870909 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n  </g>\n  <g id=\"axes_2\">\n   <g id=\"patch_7\">\n    <path d=\"M 104.653977 65.689091 \nL 155.38125 65.689091 \nL 155.38125 31.870909 \nL 104.653977 31.870909 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#pbe53ffa2d1)\">\n    <image xlink:href=\"data:image/png;base64,\niVBORw0KGgoAAAANSUhEUgAAAEcAAAAvCAYAAACxF9coAAAAzUlEQVR4nO3ZoQ3CYBBA4bb5TQW2CokhQTADYQTmqGURFiDsgkaBKgkWEJhq2OAlJxpOvE/fn15ezrUelotvFXB/jZHxavu4heYzaf69QGbGAcYBxgHGAcYBxgHGAcYBxgHGAeU0vEMP9rv1NJsk5OUA4wDjAOMA4wDjAOMA4wDjAOMA44D63M1D/61mbQl9YHW9hOYz8XKAcYBxgHGAcYBxgHGAcYBxgHFAOT4/oQeHfjPNJgl5OcA4wDjAOMA4wDjAOMA4wDjAOMA44Ac2exJN8TQyvQAAAABJRU5ErkJggg==\" id=\"imaged542a61610\" transform=\"scale(1 -1) translate(0 -33.84)\" x=\"104.653977\" y=\"-31.849091\" width=\"51.12\" height=\"33.84\"/>\n   </g>\n   <g id=\"matplotlib.axis_3\">\n    <g id=\"xtick_3\">\n     <g id=\"line2d_5\">\n      <g>\n       <use xlink:href=\"#meeaf15f3ad\" x=\"108.88125\" y=\"65.689091\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_7\">\n      <!-- 0 -->\n      <g transform=\"translate(105.7 80.287528) scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_6\">\n      <g>\n       <use xlink:href=\"#meeaf15f3ad\" x=\"151.153977\" y=\"65.689091\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 5 -->\n      <g transform=\"translate(147.972727 80.287528) scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-35\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_9\">\n     <!-- keys -->\n     <g transform=\"translate(118.662926 93.965653) scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-6b\"/>\n      <use xlink:href=\"#DejaVuSans-65\" x=\"54.285156\"/>\n      <use xlink:href=\"#DejaVuSans-79\" x=\"115.808594\"/>\n      <use xlink:href=\"#DejaVuSans-73\" x=\"174.988281\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_4\">\n    <g id=\"ytick_3\">\n     <g id=\"line2d_7\">\n      <g>\n       <use xlink:href=\"#m2e36f5581e\" x=\"104.653977\" y=\"36.098182\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_8\">\n      <g>\n       <use xlink:href=\"#m2e36f5581e\" x=\"104.653977\" y=\"57.234545\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"patch_8\">\n    <path d=\"M 104.653977 65.689091 \nL 104.653977 31.870909 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_9\">\n    <path d=\"M 155.38125 65.689091 \nL 155.38125 31.870909 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_10\">\n    <path d=\"M 104.653977 65.689091 \nL 155.38125 65.689091 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_11\">\n    <path d=\"M 104.653977 31.870909 \nL 155.38125 31.870909 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n  </g>\n  <g id=\"axes_3\">\n   <g id=\"patch_12\">\n    <path d=\"M 162.35625 90.36 \nL 166.51425 90.36 \nL 166.51425 7.2 \nL 162.35625 7.2 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <image xlink:href=\"data:image/png;base64,\niVBORw0KGgoAAAANSUhEUgAAAAYAAAB0CAYAAACmJkOCAAAAyElEQVR4nM2WSwrEMAxDXcj9zzqbblp/egG/gEII02WEJMt2Qq+6f2XNN6yyO7dhGQQQo1qLFY9ij30AB5Rz6B7uIqNQKkiKAUwuAyRV8e6SmjTxgAcy5An+qTkD+vrQNVgw15sI5qWXi909kLwCpTCgDPgB83dfuXpVFDAD3vakR18H3KEqWJKJVCBAyTEgSukBw2WP9thsJP0zOAEoFcjoz22EUQ5kyFVhwH5BZx4MkBQ2Ee7mhAEjX2E88sxRCluyYg4MquoD0XoQUGMmzEcAAAAASUVORK5CYII=\" id=\"imagee250257dde\" transform=\"scale(1 -1) translate(0 -83.52)\" x=\"162\" y=\"-6.48\" width=\"4.32\" height=\"83.52\"/>\n   <g id=\"matplotlib.axis_5\"/>\n   <g id=\"matplotlib.axis_6\">\n    <g id=\"ytick_5\">\n     <g id=\"line2d_9\">\n      <defs>\n       <path id=\"me30b75b612\" d=\"M 0 0 \nL 3.5 0 \n\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </defs>\n      <g>\n       <use xlink:href=\"#me30b75b612\" x=\"166.51425\" y=\"90.36\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- 0.0 -->\n      <g transform=\"translate(173.51425 94.159219) scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_10\">\n      <g>\n       <use xlink:href=\"#me30b75b612\" x=\"166.51425\" y=\"65.646092\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 0.2 -->\n      <g transform=\"translate(173.51425 69.445311) scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n       <use xlink:href=\"#DejaVuSans-32\" x=\"95.410156\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_7\">\n     <g id=\"line2d_11\">\n      <g>\n       <use xlink:href=\"#me30b75b612\" x=\"166.51425\" y=\"40.932184\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 0.4 -->\n      <g transform=\"translate(173.51425 44.731403) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"DejaVuSans-34\" d=\"M 2419 4116 \nL 825 1625 \nL 2419 1625 \nL 2419 4116 \nz\nM 2253 4666 \nL 3047 4666 \nL 3047 1625 \nL 3713 1625 \nL 3713 1100 \nL 3047 1100 \nL 3047 0 \nL 2419 0 \nL 2419 1100 \nL 313 1100 \nL 313 1709 \nL 2253 4666 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n       <use xlink:href=\"#DejaVuSans-34\" x=\"95.410156\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_8\">\n     <g id=\"line2d_12\">\n      <g>\n       <use xlink:href=\"#me30b75b612\" x=\"166.51425\" y=\"16.218276\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 0.6 -->\n      <g transform=\"translate(173.51425 20.017495) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"DejaVuSans-36\" d=\"M 2113 2584 \nQ 1688 2584 1439 2293 \nQ 1191 2003 1191 1497 \nQ 1191 994 1439 701 \nQ 1688 409 2113 409 \nQ 2538 409 2786 701 \nQ 3034 994 3034 1497 \nQ 3034 2003 2786 2293 \nQ 2538 2584 2113 2584 \nz\nM 3366 4563 \nL 3366 3988 \nQ 3128 4100 2886 4159 \nQ 2644 4219 2406 4219 \nQ 1781 4219 1451 3797 \nQ 1122 3375 1075 2522 \nQ 1259 2794 1537 2939 \nQ 1816 3084 2150 3084 \nQ 2853 3084 3261 2657 \nQ 3669 2231 3669 1497 \nQ 3669 778 3244 343 \nQ 2819 -91 2113 -91 \nQ 1303 -91 875 529 \nQ 447 1150 447 2328 \nQ 447 3434 972 4092 \nQ 1497 4750 2381 4750 \nQ 2619 4750 2861 4703 \nQ 3103 4656 3366 4563 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n       <use xlink:href=\"#DejaVuSans-36\" x=\"95.410156\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"LineCollection_1\"/>\n   <g id=\"patch_13\">\n    <path d=\"M 162.35625 90.36 \nL 164.43525 90.36 \nL 166.51425 90.36 \nL 166.51425 7.2 \nL 164.43525 7.2 \nL 162.35625 7.2 \nL 162.35625 90.36 \nz\n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"pa58b848d97\">\n   <rect x=\"43.78125\" y=\"31.870909\" width=\"50.727273\" height=\"33.818182\"/>\n  </clipPath>\n  <clipPath id=\"pbe53ffa2d1\">\n   <rect x=\"104.653977\" y=\"31.870909\" width=\"50.727273\" height=\"33.818182\"/>\n  </clipPath>\n </defs>\n</svg>\n"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 250x250 with 3 Axes>"
      ],
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"196.617375pt\" height=\"103.438906pt\" viewBox=\"0 0 196.617375 103.438906\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n <metadata>\n  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n   <cc:Work>\n    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n    <dc:date>2025-10-17T10:40:50.672305</dc:date>\n    <dc:format>image/svg+xml</dc:format>\n    <dc:creator>\n     <cc:Agent>\n      <dc:title>Matplotlib v3.7.2, https://matplotlib.org/</dc:title>\n     </cc:Agent>\n    </dc:creator>\n   </cc:Work>\n  </rdf:RDF>\n </metadata>\n <defs>\n  <style type=\"text/css\">*{stroke-linejoin: round; stroke-linecap: butt}</style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 103.438906 \nL 196.617375 103.438906 \nL 196.617375 0 \nL 0 0 \nz\n\" style=\"fill: #ffffff\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 43.78125 65.689091 \nL 94.508523 65.689091 \nL 94.508523 31.870909 \nL 43.78125 31.870909 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#pb443388718)\">\n    <image xlink:href=\"data:image/png;base64,\niVBORw0KGgoAAAANSUhEUgAAAEcAAAAvCAYAAACxF9coAAAA40lEQVR4nO3ZoQ3CQBSA4Su5IAgOQZiABKZAsEbZgA2weHTHwSBJUCxAMASJoAU2+NMnGir+T793af6cubSoxpNvCnjUn8h4KhfT1rOz4yl0dtcG//6APjMOMA4wDjAOMA4wDjAOMA4wDjAOyLkoQgubZfu3UkopVZd769ld6OTueXOAcYBxgHGAcYBxgHGAcYBxgHGAcUC+vt6hhXUT+s2V5qNhaL5PvDnAOMA4wDjAOMA4wDjAOMA4wDggP+smtLA/30Lzh+0qNN8n3hxgHGAcYBxgHGAcYBxgHGAcYBxgHPAD/KoWaBWM80wAAAAASUVORK5CYII=\" id=\"image799dfe5019\" transform=\"scale(1 -1) translate(0 -33.84)\" x=\"43.78125\" y=\"-31.849091\" width=\"51.12\" height=\"33.84\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <defs>\n       <path id=\"m43e8355aad\" d=\"M 0 0 \nL 0 3.5 \n\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </defs>\n      <g>\n       <use xlink:href=\"#m43e8355aad\" x=\"48.008523\" y=\"65.689091\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- 0 -->\n      <g transform=\"translate(44.827273 80.287528) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"DejaVuSans-30\" d=\"M 2034 4250 \nQ 1547 4250 1301 3770 \nQ 1056 3291 1056 2328 \nQ 1056 1369 1301 889 \nQ 1547 409 2034 409 \nQ 2525 409 2770 889 \nQ 3016 1369 3016 2328 \nQ 3016 3291 2770 3770 \nQ 2525 4250 2034 4250 \nz\nM 2034 4750 \nQ 2819 4750 3233 4129 \nQ 3647 3509 3647 2328 \nQ 3647 1150 3233 529 \nQ 2819 -91 2034 -91 \nQ 1250 -91 836 529 \nQ 422 1150 422 2328 \nQ 422 3509 836 4129 \nQ 1250 4750 2034 4750 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <g>\n       <use xlink:href=\"#m43e8355aad\" x=\"90.28125\" y=\"65.689091\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- 5 -->\n      <g transform=\"translate(87.1 80.287528) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"DejaVuSans-35\" d=\"M 691 4666 \nL 3169 4666 \nL 3169 4134 \nL 1269 4134 \nL 1269 2991 \nQ 1406 3038 1543 3061 \nQ 1681 3084 1819 3084 \nQ 2600 3084 3056 2656 \nQ 3513 2228 3513 1497 \nQ 3513 744 3044 326 \nQ 2575 -91 1722 -91 \nQ 1428 -91 1123 -41 \nQ 819 9 494 109 \nL 494 744 \nQ 775 591 1075 516 \nQ 1375 441 1709 441 \nQ 2250 441 2565 725 \nQ 2881 1009 2881 1497 \nQ 2881 1984 2565 2268 \nQ 2250 2553 1709 2553 \nQ 1456 2553 1204 2497 \nQ 953 2441 691 2322 \nL 691 4666 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-35\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_3\">\n     <!-- keys -->\n     <g transform=\"translate(57.790199 93.965653) scale(0.1 -0.1)\">\n      <defs>\n       <path id=\"DejaVuSans-6b\" d=\"M 581 4863 \nL 1159 4863 \nL 1159 1991 \nL 2875 3500 \nL 3609 3500 \nL 1753 1863 \nL 3688 0 \nL 2938 0 \nL 1159 1709 \nL 1159 0 \nL 581 0 \nL 581 4863 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-65\" d=\"M 3597 1894 \nL 3597 1613 \nL 953 1613 \nQ 991 1019 1311 708 \nQ 1631 397 2203 397 \nQ 2534 397 2845 478 \nQ 3156 559 3463 722 \nL 3463 178 \nQ 3153 47 2828 -22 \nQ 2503 -91 2169 -91 \nQ 1331 -91 842 396 \nQ 353 884 353 1716 \nQ 353 2575 817 3079 \nQ 1281 3584 2069 3584 \nQ 2775 3584 3186 3129 \nQ 3597 2675 3597 1894 \nz\nM 3022 2063 \nQ 3016 2534 2758 2815 \nQ 2500 3097 2075 3097 \nQ 1594 3097 1305 2825 \nQ 1016 2553 972 2059 \nL 3022 2063 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-79\" d=\"M 2059 -325 \nQ 1816 -950 1584 -1140 \nQ 1353 -1331 966 -1331 \nL 506 -1331 \nL 506 -850 \nL 844 -850 \nQ 1081 -850 1212 -737 \nQ 1344 -625 1503 -206 \nL 1606 56 \nL 191 3500 \nL 800 3500 \nL 1894 763 \nL 2988 3500 \nL 3597 3500 \nL 2059 -325 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-73\" d=\"M 2834 3397 \nL 2834 2853 \nQ 2591 2978 2328 3040 \nQ 2066 3103 1784 3103 \nQ 1356 3103 1142 2972 \nQ 928 2841 928 2578 \nQ 928 2378 1081 2264 \nQ 1234 2150 1697 2047 \nL 1894 2003 \nQ 2506 1872 2764 1633 \nQ 3022 1394 3022 966 \nQ 3022 478 2636 193 \nQ 2250 -91 1575 -91 \nQ 1294 -91 989 -36 \nQ 684 19 347 128 \nL 347 722 \nQ 666 556 975 473 \nQ 1284 391 1588 391 \nQ 1994 391 2212 530 \nQ 2431 669 2431 922 \nQ 2431 1156 2273 1281 \nQ 2116 1406 1581 1522 \nL 1381 1569 \nQ 847 1681 609 1914 \nQ 372 2147 372 2553 \nQ 372 3047 722 3315 \nQ 1072 3584 1716 3584 \nQ 2034 3584 2315 3537 \nQ 2597 3491 2834 3397 \nz\n\" transform=\"scale(0.015625)\"/>\n      </defs>\n      <use xlink:href=\"#DejaVuSans-6b\"/>\n      <use xlink:href=\"#DejaVuSans-65\" x=\"54.285156\"/>\n      <use xlink:href=\"#DejaVuSans-79\" x=\"115.808594\"/>\n      <use xlink:href=\"#DejaVuSans-73\" x=\"174.988281\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_3\">\n      <defs>\n       <path id=\"m32acd7b1bb\" d=\"M 0 0 \nL -3.5 0 \n\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </defs>\n      <g>\n       <use xlink:href=\"#m32acd7b1bb\" x=\"43.78125\" y=\"36.098182\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- 0.0 -->\n      <g transform=\"translate(20.878125 39.897401) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"DejaVuSans-2e\" d=\"M 684 794 \nL 1344 794 \nL 1344 0 \nL 684 0 \nL 684 794 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_4\">\n      <g>\n       <use xlink:href=\"#m32acd7b1bb\" x=\"43.78125\" y=\"57.234545\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- 2.5 -->\n      <g transform=\"translate(20.878125 61.033764) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"DejaVuSans-32\" d=\"M 1228 531 \nL 3431 531 \nL 3431 0 \nL 469 0 \nL 469 531 \nQ 828 903 1448 1529 \nQ 2069 2156 2228 2338 \nQ 2531 2678 2651 2914 \nQ 2772 3150 2772 3378 \nQ 2772 3750 2511 3984 \nQ 2250 4219 1831 4219 \nQ 1534 4219 1204 4116 \nQ 875 4013 500 3803 \nL 500 4441 \nQ 881 4594 1212 4672 \nQ 1544 4750 1819 4750 \nQ 2544 4750 2975 4387 \nQ 3406 4025 3406 3419 \nQ 3406 3131 3298 2873 \nQ 3191 2616 2906 2266 \nQ 2828 2175 2409 1742 \nQ 1991 1309 1228 531 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-32\"/>\n       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n       <use xlink:href=\"#DejaVuSans-35\" x=\"95.410156\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_6\">\n     <!-- queries -->\n     <g transform=\"translate(14.798438 67.325313) rotate(-90) scale(0.1 -0.1)\">\n      <defs>\n       <path id=\"DejaVuSans-71\" d=\"M 947 1747 \nQ 947 1113 1208 752 \nQ 1469 391 1925 391 \nQ 2381 391 2643 752 \nQ 2906 1113 2906 1747 \nQ 2906 2381 2643 2742 \nQ 2381 3103 1925 3103 \nQ 1469 3103 1208 2742 \nQ 947 2381 947 1747 \nz\nM 2906 525 \nQ 2725 213 2448 61 \nQ 2172 -91 1784 -91 \nQ 1150 -91 751 415 \nQ 353 922 353 1747 \nQ 353 2572 751 3078 \nQ 1150 3584 1784 3584 \nQ 2172 3584 2448 3432 \nQ 2725 3281 2906 2969 \nL 2906 3500 \nL 3481 3500 \nL 3481 -1331 \nL 2906 -1331 \nL 2906 525 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-75\" d=\"M 544 1381 \nL 544 3500 \nL 1119 3500 \nL 1119 1403 \nQ 1119 906 1312 657 \nQ 1506 409 1894 409 \nQ 2359 409 2629 706 \nQ 2900 1003 2900 1516 \nL 2900 3500 \nL 3475 3500 \nL 3475 0 \nL 2900 0 \nL 2900 538 \nQ 2691 219 2414 64 \nQ 2138 -91 1772 -91 \nQ 1169 -91 856 284 \nQ 544 659 544 1381 \nz\nM 1991 3584 \nL 1991 3584 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-72\" d=\"M 2631 2963 \nQ 2534 3019 2420 3045 \nQ 2306 3072 2169 3072 \nQ 1681 3072 1420 2755 \nQ 1159 2438 1159 1844 \nL 1159 0 \nL 581 0 \nL 581 3500 \nL 1159 3500 \nL 1159 2956 \nQ 1341 3275 1631 3429 \nQ 1922 3584 2338 3584 \nQ 2397 3584 2469 3576 \nQ 2541 3569 2628 3553 \nL 2631 2963 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-69\" d=\"M 603 3500 \nL 1178 3500 \nL 1178 0 \nL 603 0 \nL 603 3500 \nz\nM 603 4863 \nL 1178 4863 \nL 1178 4134 \nL 603 4134 \nL 603 4863 \nz\n\" transform=\"scale(0.015625)\"/>\n      </defs>\n      <use xlink:href=\"#DejaVuSans-71\"/>\n      <use xlink:href=\"#DejaVuSans-75\" x=\"63.476562\"/>\n      <use xlink:href=\"#DejaVuSans-65\" x=\"126.855469\"/>\n      <use xlink:href=\"#DejaVuSans-72\" x=\"188.378906\"/>\n      <use xlink:href=\"#DejaVuSans-69\" x=\"229.492188\"/>\n      <use xlink:href=\"#DejaVuSans-65\" x=\"257.275391\"/>\n      <use xlink:href=\"#DejaVuSans-73\" x=\"318.798828\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 43.78125 65.689091 \nL 43.78125 31.870909 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 94.508523 65.689091 \nL 94.508523 31.870909 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 43.78125 65.689091 \nL 94.508523 65.689091 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 43.78125 31.870909 \nL 94.508523 31.870909 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n  </g>\n  <g id=\"axes_2\">\n   <g id=\"patch_7\">\n    <path d=\"M 104.653977 65.689091 \nL 155.38125 65.689091 \nL 155.38125 31.870909 \nL 104.653977 31.870909 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#p1b5a618bff)\">\n    <image xlink:href=\"data:image/png;base64,\niVBORw0KGgoAAAANSUhEUgAAAEcAAAAvCAYAAACxF9coAAAAz0lEQVR4nO3ZoQ3CYBBA4ZZ0gDoMsiEEwTQMwBpMgEK1AzAHukklCUyAIjhEHQI2eMmJpifep+9PLy/nWj53618RMI7fyHixfdxC85ks5l4gM+MA4wDjAOMA4wDjAOMA4wDjAOOA6nR/hR6058M0myTk5QDjAOMA4wDjAOMA4wDjAOMA4wDjgHJYrkL/rTZNHfpAfe1D85l4OcA4wDjAOMA4wDjAOMA4wDjAOKC6vD+hB91xP80mCXk5wDjAOMA4wDjAOMA4wDjAOMA4wDjgDySZEsFN56VAAAAAAElFTkSuQmCC\" id=\"image0d14dc8859\" transform=\"scale(1 -1) translate(0 -33.84)\" x=\"104.653977\" y=\"-31.849091\" width=\"51.12\" height=\"33.84\"/>\n   </g>\n   <g id=\"matplotlib.axis_3\">\n    <g id=\"xtick_3\">\n     <g id=\"line2d_5\">\n      <g>\n       <use xlink:href=\"#m43e8355aad\" x=\"108.88125\" y=\"65.689091\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_7\">\n      <!-- 0 -->\n      <g transform=\"translate(105.7 80.287528) scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_6\">\n      <g>\n       <use xlink:href=\"#m43e8355aad\" x=\"151.153977\" y=\"65.689091\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 5 -->\n      <g transform=\"translate(147.972727 80.287528) scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-35\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_9\">\n     <!-- keys -->\n     <g transform=\"translate(118.662926 93.965653) scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-6b\"/>\n      <use xlink:href=\"#DejaVuSans-65\" x=\"54.285156\"/>\n      <use xlink:href=\"#DejaVuSans-79\" x=\"115.808594\"/>\n      <use xlink:href=\"#DejaVuSans-73\" x=\"174.988281\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_4\">\n    <g id=\"ytick_3\">\n     <g id=\"line2d_7\">\n      <g>\n       <use xlink:href=\"#m32acd7b1bb\" x=\"104.653977\" y=\"36.098182\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_8\">\n      <g>\n       <use xlink:href=\"#m32acd7b1bb\" x=\"104.653977\" y=\"57.234545\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"patch_8\">\n    <path d=\"M 104.653977 65.689091 \nL 104.653977 31.870909 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_9\">\n    <path d=\"M 155.38125 65.689091 \nL 155.38125 31.870909 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_10\">\n    <path d=\"M 104.653977 65.689091 \nL 155.38125 65.689091 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_11\">\n    <path d=\"M 104.653977 31.870909 \nL 155.38125 31.870909 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n  </g>\n  <g id=\"axes_3\">\n   <g id=\"patch_12\">\n    <path d=\"M 162.35625 90.36 \nL 166.51425 90.36 \nL 166.51425 7.2 \nL 162.35625 7.2 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <image xlink:href=\"data:image/png;base64,\niVBORw0KGgoAAAANSUhEUgAAAAYAAAB0CAYAAACmJkOCAAAAyElEQVR4nM2WSwrEMAxDXcj9zzqbblp/egG/gEII02WEJMt2Qq+6f2XNN6yyO7dhGQQQo1qLFY9ij30AB5Rz6B7uIqNQKkiKAUwuAyRV8e6SmjTxgAcy5An+qTkD+vrQNVgw15sI5qWXi909kLwCpTCgDPgB83dfuXpVFDAD3vakR18H3KEqWJKJVCBAyTEgSukBw2WP9thsJP0zOAEoFcjoz22EUQ5kyFVhwH5BZx4MkBQ2Ee7mhAEjX2E88sxRCluyYg4MquoD0XoQUGMmzEcAAAAASUVORK5CYII=\" id=\"image76b0b716a8\" transform=\"scale(1 -1) translate(0 -83.52)\" x=\"162\" y=\"-6.48\" width=\"4.32\" height=\"83.52\"/>\n   <g id=\"matplotlib.axis_5\"/>\n   <g id=\"matplotlib.axis_6\">\n    <g id=\"ytick_5\">\n     <g id=\"line2d_9\">\n      <defs>\n       <path id=\"m2fd2144389\" d=\"M 0 0 \nL 3.5 0 \n\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </defs>\n      <g>\n       <use xlink:href=\"#m2fd2144389\" x=\"166.51425\" y=\"90.36\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- 0.0 -->\n      <g transform=\"translate(173.51425 94.159219) scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_10\">\n      <g>\n       <use xlink:href=\"#m2fd2144389\" x=\"166.51425\" y=\"67.375326\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 0.2 -->\n      <g transform=\"translate(173.51425 71.174545) scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n       <use xlink:href=\"#DejaVuSans-32\" x=\"95.410156\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_7\">\n     <g id=\"line2d_11\">\n      <g>\n       <use xlink:href=\"#m2fd2144389\" x=\"166.51425\" y=\"44.390652\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 0.4 -->\n      <g transform=\"translate(173.51425 48.18987) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"DejaVuSans-34\" d=\"M 2419 4116 \nL 825 1625 \nL 2419 1625 \nL 2419 4116 \nz\nM 2253 4666 \nL 3047 4666 \nL 3047 1625 \nL 3713 1625 \nL 3713 1100 \nL 3047 1100 \nL 3047 0 \nL 2419 0 \nL 2419 1100 \nL 313 1100 \nL 313 1709 \nL 2253 4666 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n       <use xlink:href=\"#DejaVuSans-34\" x=\"95.410156\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_8\">\n     <g id=\"line2d_12\">\n      <g>\n       <use xlink:href=\"#m2fd2144389\" x=\"166.51425\" y=\"21.405977\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 0.6 -->\n      <g transform=\"translate(173.51425 25.205196) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"DejaVuSans-36\" d=\"M 2113 2584 \nQ 1688 2584 1439 2293 \nQ 1191 2003 1191 1497 \nQ 1191 994 1439 701 \nQ 1688 409 2113 409 \nQ 2538 409 2786 701 \nQ 3034 994 3034 1497 \nQ 3034 2003 2786 2293 \nQ 2538 2584 2113 2584 \nz\nM 3366 4563 \nL 3366 3988 \nQ 3128 4100 2886 4159 \nQ 2644 4219 2406 4219 \nQ 1781 4219 1451 3797 \nQ 1122 3375 1075 2522 \nQ 1259 2794 1537 2939 \nQ 1816 3084 2150 3084 \nQ 2853 3084 3261 2657 \nQ 3669 2231 3669 1497 \nQ 3669 778 3244 343 \nQ 2819 -91 2113 -91 \nQ 1303 -91 875 529 \nQ 447 1150 447 2328 \nQ 447 3434 972 4092 \nQ 1497 4750 2381 4750 \nQ 2619 4750 2861 4703 \nQ 3103 4656 3366 4563 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n       <use xlink:href=\"#DejaVuSans-36\" x=\"95.410156\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"LineCollection_1\"/>\n   <g id=\"patch_13\">\n    <path d=\"M 162.35625 90.36 \nL 164.43525 90.36 \nL 166.51425 90.36 \nL 166.51425 7.2 \nL 164.43525 7.2 \nL 162.35625 7.2 \nL 162.35625 90.36 \nz\n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"pb443388718\">\n   <rect x=\"43.78125\" y=\"31.870909\" width=\"50.727273\" height=\"33.818182\"/>\n  </clipPath>\n  <clipPath id=\"p1b5a618bff\">\n   <rect x=\"104.653977\" y=\"31.870909\" width=\"50.727273\" height=\"33.818182\"/>\n  </clipPath>\n </defs>\n</svg>\n"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 250x250 with 3 Axes>"
      ],
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"196.617375pt\" height=\"103.438906pt\" viewBox=\"0 0 196.617375 103.438906\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n <metadata>\n  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n   <cc:Work>\n    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n    <dc:date>2025-10-17T10:40:50.726258</dc:date>\n    <dc:format>image/svg+xml</dc:format>\n    <dc:creator>\n     <cc:Agent>\n      <dc:title>Matplotlib v3.7.2, https://matplotlib.org/</dc:title>\n     </cc:Agent>\n    </dc:creator>\n   </cc:Work>\n  </rdf:RDF>\n </metadata>\n <defs>\n  <style type=\"text/css\">*{stroke-linejoin: round; stroke-linecap: butt}</style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 103.438906 \nL 196.617375 103.438906 \nL 196.617375 0 \nL 0 0 \nz\n\" style=\"fill: #ffffff\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 43.78125 65.689091 \nL 94.508523 65.689091 \nL 94.508523 31.870909 \nL 43.78125 31.870909 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#p1ec25d1db5)\">\n    <image xlink:href=\"data:image/png;base64,\niVBORw0KGgoAAAANSUhEUgAAAEcAAAAvCAYAAACxF9coAAAA5ElEQVR4nO3ZIQrCUBzH8SkPVlYcDMRiELFa7B5APIXgOUxeRK9hMAg2T7AgWGyCWPUGX/YPw4XvJ//eY3x5bb1tVnyzgHVZRObZYlo23lanS+jutvX//QFdZhxgHGAcYBxgHGAcYBxgHGAcYByQNsNB6MDx+QrtR4+88bYK3dw+Xw4wDjAOMA4wDjAOMA4wDjAOMA4wDki39yd0YLechPb7c914Ow/d3D5fDjAOMA4wDjAOMA4wDjAOMA4wDkirWeyHyOF6D+3HeQrtu8SXA4wDjAOMA4wDjAOMA4wDjAOMA4wDfs9nEWVxMYNfAAAAAElFTkSuQmCC\" id=\"imagef86fa54aa7\" transform=\"scale(1 -1) translate(0 -33.84)\" x=\"43.78125\" y=\"-31.849091\" width=\"51.12\" height=\"33.84\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <defs>\n       <path id=\"mc9c7c0e95a\" d=\"M 0 0 \nL 0 3.5 \n\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </defs>\n      <g>\n       <use xlink:href=\"#mc9c7c0e95a\" x=\"48.008523\" y=\"65.689091\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- 0 -->\n      <g transform=\"translate(44.827273 80.287528) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"DejaVuSans-30\" d=\"M 2034 4250 \nQ 1547 4250 1301 3770 \nQ 1056 3291 1056 2328 \nQ 1056 1369 1301 889 \nQ 1547 409 2034 409 \nQ 2525 409 2770 889 \nQ 3016 1369 3016 2328 \nQ 3016 3291 2770 3770 \nQ 2525 4250 2034 4250 \nz\nM 2034 4750 \nQ 2819 4750 3233 4129 \nQ 3647 3509 3647 2328 \nQ 3647 1150 3233 529 \nQ 2819 -91 2034 -91 \nQ 1250 -91 836 529 \nQ 422 1150 422 2328 \nQ 422 3509 836 4129 \nQ 1250 4750 2034 4750 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <g>\n       <use xlink:href=\"#mc9c7c0e95a\" x=\"90.28125\" y=\"65.689091\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- 5 -->\n      <g transform=\"translate(87.1 80.287528) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"DejaVuSans-35\" d=\"M 691 4666 \nL 3169 4666 \nL 3169 4134 \nL 1269 4134 \nL 1269 2991 \nQ 1406 3038 1543 3061 \nQ 1681 3084 1819 3084 \nQ 2600 3084 3056 2656 \nQ 3513 2228 3513 1497 \nQ 3513 744 3044 326 \nQ 2575 -91 1722 -91 \nQ 1428 -91 1123 -41 \nQ 819 9 494 109 \nL 494 744 \nQ 775 591 1075 516 \nQ 1375 441 1709 441 \nQ 2250 441 2565 725 \nQ 2881 1009 2881 1497 \nQ 2881 1984 2565 2268 \nQ 2250 2553 1709 2553 \nQ 1456 2553 1204 2497 \nQ 953 2441 691 2322 \nL 691 4666 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-35\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_3\">\n     <!-- keys -->\n     <g transform=\"translate(57.790199 93.965653) scale(0.1 -0.1)\">\n      <defs>\n       <path id=\"DejaVuSans-6b\" d=\"M 581 4863 \nL 1159 4863 \nL 1159 1991 \nL 2875 3500 \nL 3609 3500 \nL 1753 1863 \nL 3688 0 \nL 2938 0 \nL 1159 1709 \nL 1159 0 \nL 581 0 \nL 581 4863 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-65\" d=\"M 3597 1894 \nL 3597 1613 \nL 953 1613 \nQ 991 1019 1311 708 \nQ 1631 397 2203 397 \nQ 2534 397 2845 478 \nQ 3156 559 3463 722 \nL 3463 178 \nQ 3153 47 2828 -22 \nQ 2503 -91 2169 -91 \nQ 1331 -91 842 396 \nQ 353 884 353 1716 \nQ 353 2575 817 3079 \nQ 1281 3584 2069 3584 \nQ 2775 3584 3186 3129 \nQ 3597 2675 3597 1894 \nz\nM 3022 2063 \nQ 3016 2534 2758 2815 \nQ 2500 3097 2075 3097 \nQ 1594 3097 1305 2825 \nQ 1016 2553 972 2059 \nL 3022 2063 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-79\" d=\"M 2059 -325 \nQ 1816 -950 1584 -1140 \nQ 1353 -1331 966 -1331 \nL 506 -1331 \nL 506 -850 \nL 844 -850 \nQ 1081 -850 1212 -737 \nQ 1344 -625 1503 -206 \nL 1606 56 \nL 191 3500 \nL 800 3500 \nL 1894 763 \nL 2988 3500 \nL 3597 3500 \nL 2059 -325 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-73\" d=\"M 2834 3397 \nL 2834 2853 \nQ 2591 2978 2328 3040 \nQ 2066 3103 1784 3103 \nQ 1356 3103 1142 2972 \nQ 928 2841 928 2578 \nQ 928 2378 1081 2264 \nQ 1234 2150 1697 2047 \nL 1894 2003 \nQ 2506 1872 2764 1633 \nQ 3022 1394 3022 966 \nQ 3022 478 2636 193 \nQ 2250 -91 1575 -91 \nQ 1294 -91 989 -36 \nQ 684 19 347 128 \nL 347 722 \nQ 666 556 975 473 \nQ 1284 391 1588 391 \nQ 1994 391 2212 530 \nQ 2431 669 2431 922 \nQ 2431 1156 2273 1281 \nQ 2116 1406 1581 1522 \nL 1381 1569 \nQ 847 1681 609 1914 \nQ 372 2147 372 2553 \nQ 372 3047 722 3315 \nQ 1072 3584 1716 3584 \nQ 2034 3584 2315 3537 \nQ 2597 3491 2834 3397 \nz\n\" transform=\"scale(0.015625)\"/>\n      </defs>\n      <use xlink:href=\"#DejaVuSans-6b\"/>\n      <use xlink:href=\"#DejaVuSans-65\" x=\"54.285156\"/>\n      <use xlink:href=\"#DejaVuSans-79\" x=\"115.808594\"/>\n      <use xlink:href=\"#DejaVuSans-73\" x=\"174.988281\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_3\">\n      <defs>\n       <path id=\"m1bbea5223f\" d=\"M 0 0 \nL -3.5 0 \n\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </defs>\n      <g>\n       <use xlink:href=\"#m1bbea5223f\" x=\"43.78125\" y=\"36.098182\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- 0.0 -->\n      <g transform=\"translate(20.878125 39.897401) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"DejaVuSans-2e\" d=\"M 684 794 \nL 1344 794 \nL 1344 0 \nL 684 0 \nL 684 794 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_4\">\n      <g>\n       <use xlink:href=\"#m1bbea5223f\" x=\"43.78125\" y=\"57.234545\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- 2.5 -->\n      <g transform=\"translate(20.878125 61.033764) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"DejaVuSans-32\" d=\"M 1228 531 \nL 3431 531 \nL 3431 0 \nL 469 0 \nL 469 531 \nQ 828 903 1448 1529 \nQ 2069 2156 2228 2338 \nQ 2531 2678 2651 2914 \nQ 2772 3150 2772 3378 \nQ 2772 3750 2511 3984 \nQ 2250 4219 1831 4219 \nQ 1534 4219 1204 4116 \nQ 875 4013 500 3803 \nL 500 4441 \nQ 881 4594 1212 4672 \nQ 1544 4750 1819 4750 \nQ 2544 4750 2975 4387 \nQ 3406 4025 3406 3419 \nQ 3406 3131 3298 2873 \nQ 3191 2616 2906 2266 \nQ 2828 2175 2409 1742 \nQ 1991 1309 1228 531 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-32\"/>\n       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n       <use xlink:href=\"#DejaVuSans-35\" x=\"95.410156\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_6\">\n     <!-- queries -->\n     <g transform=\"translate(14.798438 67.325313) rotate(-90) scale(0.1 -0.1)\">\n      <defs>\n       <path id=\"DejaVuSans-71\" d=\"M 947 1747 \nQ 947 1113 1208 752 \nQ 1469 391 1925 391 \nQ 2381 391 2643 752 \nQ 2906 1113 2906 1747 \nQ 2906 2381 2643 2742 \nQ 2381 3103 1925 3103 \nQ 1469 3103 1208 2742 \nQ 947 2381 947 1747 \nz\nM 2906 525 \nQ 2725 213 2448 61 \nQ 2172 -91 1784 -91 \nQ 1150 -91 751 415 \nQ 353 922 353 1747 \nQ 353 2572 751 3078 \nQ 1150 3584 1784 3584 \nQ 2172 3584 2448 3432 \nQ 2725 3281 2906 2969 \nL 2906 3500 \nL 3481 3500 \nL 3481 -1331 \nL 2906 -1331 \nL 2906 525 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-75\" d=\"M 544 1381 \nL 544 3500 \nL 1119 3500 \nL 1119 1403 \nQ 1119 906 1312 657 \nQ 1506 409 1894 409 \nQ 2359 409 2629 706 \nQ 2900 1003 2900 1516 \nL 2900 3500 \nL 3475 3500 \nL 3475 0 \nL 2900 0 \nL 2900 538 \nQ 2691 219 2414 64 \nQ 2138 -91 1772 -91 \nQ 1169 -91 856 284 \nQ 544 659 544 1381 \nz\nM 1991 3584 \nL 1991 3584 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-72\" d=\"M 2631 2963 \nQ 2534 3019 2420 3045 \nQ 2306 3072 2169 3072 \nQ 1681 3072 1420 2755 \nQ 1159 2438 1159 1844 \nL 1159 0 \nL 581 0 \nL 581 3500 \nL 1159 3500 \nL 1159 2956 \nQ 1341 3275 1631 3429 \nQ 1922 3584 2338 3584 \nQ 2397 3584 2469 3576 \nQ 2541 3569 2628 3553 \nL 2631 2963 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-69\" d=\"M 603 3500 \nL 1178 3500 \nL 1178 0 \nL 603 0 \nL 603 3500 \nz\nM 603 4863 \nL 1178 4863 \nL 1178 4134 \nL 603 4134 \nL 603 4863 \nz\n\" transform=\"scale(0.015625)\"/>\n      </defs>\n      <use xlink:href=\"#DejaVuSans-71\"/>\n      <use xlink:href=\"#DejaVuSans-75\" x=\"63.476562\"/>\n      <use xlink:href=\"#DejaVuSans-65\" x=\"126.855469\"/>\n      <use xlink:href=\"#DejaVuSans-72\" x=\"188.378906\"/>\n      <use xlink:href=\"#DejaVuSans-69\" x=\"229.492188\"/>\n      <use xlink:href=\"#DejaVuSans-65\" x=\"257.275391\"/>\n      <use xlink:href=\"#DejaVuSans-73\" x=\"318.798828\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 43.78125 65.689091 \nL 43.78125 31.870909 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 94.508523 65.689091 \nL 94.508523 31.870909 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 43.78125 65.689091 \nL 94.508523 65.689091 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 43.78125 31.870909 \nL 94.508523 31.870909 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n  </g>\n  <g id=\"axes_2\">\n   <g id=\"patch_7\">\n    <path d=\"M 104.653977 65.689091 \nL 155.38125 65.689091 \nL 155.38125 31.870909 \nL 104.653977 31.870909 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#pf084fdedad)\">\n    <image xlink:href=\"data:image/png;base64,\niVBORw0KGgoAAAANSUhEUgAAAEcAAAAvCAYAAACxF9coAAAA1UlEQVR4nO3ZIQ7CQBBA0S4BVQ8XQJSEcAEuU99joLgBkqugcCQcAIeggqBKECRwg5+MIIz4T0+zm58xm5bLYv6pAup6EhmvZodjaD6T0b8vkJlxgHGAcYBxgHGAcYBxgHGAcYBxwLi/v0IfrJrpj66Sj5sDjAOMA4wDjAOMA4wDjAOMA4wDjAPKe78J/bfq2m3ogN1wDc1n4uYA4wDjAOMA4wDjAOMA4wDjAOOA8lgvQ8+HW/8MHdCcT6H5TNwcYBxgHGAcYBxgHGAcYBxgHGAcYBzwBUn1FUH+k5R1AAAAAElFTkSuQmCC\" id=\"image42b5db335d\" transform=\"scale(1 -1) translate(0 -33.84)\" x=\"104.653977\" y=\"-31.849091\" width=\"51.12\" height=\"33.84\"/>\n   </g>\n   <g id=\"matplotlib.axis_3\">\n    <g id=\"xtick_3\">\n     <g id=\"line2d_5\">\n      <g>\n       <use xlink:href=\"#mc9c7c0e95a\" x=\"108.88125\" y=\"65.689091\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_7\">\n      <!-- 0 -->\n      <g transform=\"translate(105.7 80.287528) scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_6\">\n      <g>\n       <use xlink:href=\"#mc9c7c0e95a\" x=\"151.153977\" y=\"65.689091\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 5 -->\n      <g transform=\"translate(147.972727 80.287528) scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-35\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_9\">\n     <!-- keys -->\n     <g transform=\"translate(118.662926 93.965653) scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-6b\"/>\n      <use xlink:href=\"#DejaVuSans-65\" x=\"54.285156\"/>\n      <use xlink:href=\"#DejaVuSans-79\" x=\"115.808594\"/>\n      <use xlink:href=\"#DejaVuSans-73\" x=\"174.988281\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_4\">\n    <g id=\"ytick_3\">\n     <g id=\"line2d_7\">\n      <g>\n       <use xlink:href=\"#m1bbea5223f\" x=\"104.653977\" y=\"36.098182\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_8\">\n      <g>\n       <use xlink:href=\"#m1bbea5223f\" x=\"104.653977\" y=\"57.234545\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"patch_8\">\n    <path d=\"M 104.653977 65.689091 \nL 104.653977 31.870909 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_9\">\n    <path d=\"M 155.38125 65.689091 \nL 155.38125 31.870909 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_10\">\n    <path d=\"M 104.653977 65.689091 \nL 155.38125 65.689091 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_11\">\n    <path d=\"M 104.653977 31.870909 \nL 155.38125 31.870909 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n  </g>\n  <g id=\"axes_3\">\n   <g id=\"patch_12\">\n    <path d=\"M 162.35625 90.36 \nL 166.51425 90.36 \nL 166.51425 7.2 \nL 162.35625 7.2 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <image xlink:href=\"data:image/png;base64,\niVBORw0KGgoAAAANSUhEUgAAAAYAAAB0CAYAAACmJkOCAAAAyElEQVR4nM2WSwrEMAxDXcj9zzqbblp/egG/gEII02WEJMt2Qq+6f2XNN6yyO7dhGQQQo1qLFY9ij30AB5Rz6B7uIqNQKkiKAUwuAyRV8e6SmjTxgAcy5An+qTkD+vrQNVgw15sI5qWXi909kLwCpTCgDPgB83dfuXpVFDAD3vakR18H3KEqWJKJVCBAyTEgSukBw2WP9thsJP0zOAEoFcjoz22EUQ5kyFVhwH5BZx4MkBQ2Ee7mhAEjX2E88sxRCluyYg4MquoD0XoQUGMmzEcAAAAASUVORK5CYII=\" id=\"image02200ff7f8\" transform=\"scale(1 -1) translate(0 -83.52)\" x=\"162\" y=\"-6.48\" width=\"4.32\" height=\"83.52\"/>\n   <g id=\"matplotlib.axis_5\"/>\n   <g id=\"matplotlib.axis_6\">\n    <g id=\"ytick_5\">\n     <g id=\"line2d_9\">\n      <defs>\n       <path id=\"m2e7d4aedf8\" d=\"M 0 0 \nL 3.5 0 \n\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </defs>\n      <g>\n       <use xlink:href=\"#m2e7d4aedf8\" x=\"166.51425\" y=\"90.36\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- 0.0 -->\n      <g transform=\"translate(173.51425 94.159219) scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_10\">\n      <g>\n       <use xlink:href=\"#m2e7d4aedf8\" x=\"166.51425\" y=\"68.262281\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 0.2 -->\n      <g transform=\"translate(173.51425 72.0615) scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n       <use xlink:href=\"#DejaVuSans-32\" x=\"95.410156\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_7\">\n     <g id=\"line2d_11\">\n      <g>\n       <use xlink:href=\"#m2e7d4aedf8\" x=\"166.51425\" y=\"46.164562\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 0.4 -->\n      <g transform=\"translate(173.51425 49.963781) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"DejaVuSans-34\" d=\"M 2419 4116 \nL 825 1625 \nL 2419 1625 \nL 2419 4116 \nz\nM 2253 4666 \nL 3047 4666 \nL 3047 1625 \nL 3713 1625 \nL 3713 1100 \nL 3047 1100 \nL 3047 0 \nL 2419 0 \nL 2419 1100 \nL 313 1100 \nL 313 1709 \nL 2253 4666 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n       <use xlink:href=\"#DejaVuSans-34\" x=\"95.410156\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_8\">\n     <g id=\"line2d_12\">\n      <g>\n       <use xlink:href=\"#m2e7d4aedf8\" x=\"166.51425\" y=\"24.066844\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 0.6 -->\n      <g transform=\"translate(173.51425 27.866062) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"DejaVuSans-36\" d=\"M 2113 2584 \nQ 1688 2584 1439 2293 \nQ 1191 2003 1191 1497 \nQ 1191 994 1439 701 \nQ 1688 409 2113 409 \nQ 2538 409 2786 701 \nQ 3034 994 3034 1497 \nQ 3034 2003 2786 2293 \nQ 2538 2584 2113 2584 \nz\nM 3366 4563 \nL 3366 3988 \nQ 3128 4100 2886 4159 \nQ 2644 4219 2406 4219 \nQ 1781 4219 1451 3797 \nQ 1122 3375 1075 2522 \nQ 1259 2794 1537 2939 \nQ 1816 3084 2150 3084 \nQ 2853 3084 3261 2657 \nQ 3669 2231 3669 1497 \nQ 3669 778 3244 343 \nQ 2819 -91 2113 -91 \nQ 1303 -91 875 529 \nQ 447 1150 447 2328 \nQ 447 3434 972 4092 \nQ 1497 4750 2381 4750 \nQ 2619 4750 2861 4703 \nQ 3103 4656 3366 4563 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n       <use xlink:href=\"#DejaVuSans-36\" x=\"95.410156\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"LineCollection_1\"/>\n   <g id=\"patch_13\">\n    <path d=\"M 162.35625 90.36 \nL 164.43525 90.36 \nL 166.51425 90.36 \nL 166.51425 7.2 \nL 164.43525 7.2 \nL 162.35625 7.2 \nL 162.35625 90.36 \nz\n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p1ec25d1db5\">\n   <rect x=\"43.78125\" y=\"31.870909\" width=\"50.727273\" height=\"33.818182\"/>\n  </clipPath>\n  <clipPath id=\"pf084fdedad\">\n   <rect x=\"104.653977\" y=\"31.870909\" width=\"50.727273\" height=\"33.818182\"/>\n  </clipPath>\n </defs>\n</svg>\n"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 250x250 with 3 Axes>"
      ],
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"196.617375pt\" height=\"103.438906pt\" viewBox=\"0 0 196.617375 103.438906\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n <metadata>\n  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n   <cc:Work>\n    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n    <dc:date>2025-10-17T10:40:50.778197</dc:date>\n    <dc:format>image/svg+xml</dc:format>\n    <dc:creator>\n     <cc:Agent>\n      <dc:title>Matplotlib v3.7.2, https://matplotlib.org/</dc:title>\n     </cc:Agent>\n    </dc:creator>\n   </cc:Work>\n  </rdf:RDF>\n </metadata>\n <defs>\n  <style type=\"text/css\">*{stroke-linejoin: round; stroke-linecap: butt}</style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 103.438906 \nL 196.617375 103.438906 \nL 196.617375 0 \nL 0 0 \nz\n\" style=\"fill: #ffffff\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 43.78125 65.689091 \nL 94.508523 65.689091 \nL 94.508523 31.870909 \nL 43.78125 31.870909 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#p0b35030692)\">\n    <image xlink:href=\"data:image/png;base64,\niVBORw0KGgoAAAANSUhEUgAAAEcAAAAvCAYAAACxF9coAAAA2klEQVR4nO3SoQ3CQBxG8ZaeQbEAKSRYEiyyCStUVDIAhh2wOCwW3YQ9EODw7IAggQ1e+AvCiffT312blyuf69W7CKhm08i86Pfnr7ft4x66+9cG//6BnBkHGAcYBxgHGAcYBxgHGAcYBxgHpGoxDx3YbI+h/WHXhfY58eUA4wDjAOMA4wDjAOMA4wDjAOMA44D0utxCB5rRMPiFFNtnxJcDjAOMA4wDjAOMA4wDjAOMA4wD0qm/hg60yzq0L8eT0D4nvhxgHGAcYBxgHGAcYBxgHGAcYBxgHPAB7hsQmr46utcAAAAASUVORK5CYII=\" id=\"image935dca0436\" transform=\"scale(1 -1) translate(0 -33.84)\" x=\"43.78125\" y=\"-31.849091\" width=\"51.12\" height=\"33.84\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <defs>\n       <path id=\"mb69626e224\" d=\"M 0 0 \nL 0 3.5 \n\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </defs>\n      <g>\n       <use xlink:href=\"#mb69626e224\" x=\"48.008523\" y=\"65.689091\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- 0 -->\n      <g transform=\"translate(44.827273 80.287528) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"DejaVuSans-30\" d=\"M 2034 4250 \nQ 1547 4250 1301 3770 \nQ 1056 3291 1056 2328 \nQ 1056 1369 1301 889 \nQ 1547 409 2034 409 \nQ 2525 409 2770 889 \nQ 3016 1369 3016 2328 \nQ 3016 3291 2770 3770 \nQ 2525 4250 2034 4250 \nz\nM 2034 4750 \nQ 2819 4750 3233 4129 \nQ 3647 3509 3647 2328 \nQ 3647 1150 3233 529 \nQ 2819 -91 2034 -91 \nQ 1250 -91 836 529 \nQ 422 1150 422 2328 \nQ 422 3509 836 4129 \nQ 1250 4750 2034 4750 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <g>\n       <use xlink:href=\"#mb69626e224\" x=\"90.28125\" y=\"65.689091\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- 5 -->\n      <g transform=\"translate(87.1 80.287528) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"DejaVuSans-35\" d=\"M 691 4666 \nL 3169 4666 \nL 3169 4134 \nL 1269 4134 \nL 1269 2991 \nQ 1406 3038 1543 3061 \nQ 1681 3084 1819 3084 \nQ 2600 3084 3056 2656 \nQ 3513 2228 3513 1497 \nQ 3513 744 3044 326 \nQ 2575 -91 1722 -91 \nQ 1428 -91 1123 -41 \nQ 819 9 494 109 \nL 494 744 \nQ 775 591 1075 516 \nQ 1375 441 1709 441 \nQ 2250 441 2565 725 \nQ 2881 1009 2881 1497 \nQ 2881 1984 2565 2268 \nQ 2250 2553 1709 2553 \nQ 1456 2553 1204 2497 \nQ 953 2441 691 2322 \nL 691 4666 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-35\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_3\">\n     <!-- keys -->\n     <g transform=\"translate(57.790199 93.965653) scale(0.1 -0.1)\">\n      <defs>\n       <path id=\"DejaVuSans-6b\" d=\"M 581 4863 \nL 1159 4863 \nL 1159 1991 \nL 2875 3500 \nL 3609 3500 \nL 1753 1863 \nL 3688 0 \nL 2938 0 \nL 1159 1709 \nL 1159 0 \nL 581 0 \nL 581 4863 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-65\" d=\"M 3597 1894 \nL 3597 1613 \nL 953 1613 \nQ 991 1019 1311 708 \nQ 1631 397 2203 397 \nQ 2534 397 2845 478 \nQ 3156 559 3463 722 \nL 3463 178 \nQ 3153 47 2828 -22 \nQ 2503 -91 2169 -91 \nQ 1331 -91 842 396 \nQ 353 884 353 1716 \nQ 353 2575 817 3079 \nQ 1281 3584 2069 3584 \nQ 2775 3584 3186 3129 \nQ 3597 2675 3597 1894 \nz\nM 3022 2063 \nQ 3016 2534 2758 2815 \nQ 2500 3097 2075 3097 \nQ 1594 3097 1305 2825 \nQ 1016 2553 972 2059 \nL 3022 2063 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-79\" d=\"M 2059 -325 \nQ 1816 -950 1584 -1140 \nQ 1353 -1331 966 -1331 \nL 506 -1331 \nL 506 -850 \nL 844 -850 \nQ 1081 -850 1212 -737 \nQ 1344 -625 1503 -206 \nL 1606 56 \nL 191 3500 \nL 800 3500 \nL 1894 763 \nL 2988 3500 \nL 3597 3500 \nL 2059 -325 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-73\" d=\"M 2834 3397 \nL 2834 2853 \nQ 2591 2978 2328 3040 \nQ 2066 3103 1784 3103 \nQ 1356 3103 1142 2972 \nQ 928 2841 928 2578 \nQ 928 2378 1081 2264 \nQ 1234 2150 1697 2047 \nL 1894 2003 \nQ 2506 1872 2764 1633 \nQ 3022 1394 3022 966 \nQ 3022 478 2636 193 \nQ 2250 -91 1575 -91 \nQ 1294 -91 989 -36 \nQ 684 19 347 128 \nL 347 722 \nQ 666 556 975 473 \nQ 1284 391 1588 391 \nQ 1994 391 2212 530 \nQ 2431 669 2431 922 \nQ 2431 1156 2273 1281 \nQ 2116 1406 1581 1522 \nL 1381 1569 \nQ 847 1681 609 1914 \nQ 372 2147 372 2553 \nQ 372 3047 722 3315 \nQ 1072 3584 1716 3584 \nQ 2034 3584 2315 3537 \nQ 2597 3491 2834 3397 \nz\n\" transform=\"scale(0.015625)\"/>\n      </defs>\n      <use xlink:href=\"#DejaVuSans-6b\"/>\n      <use xlink:href=\"#DejaVuSans-65\" x=\"54.285156\"/>\n      <use xlink:href=\"#DejaVuSans-79\" x=\"115.808594\"/>\n      <use xlink:href=\"#DejaVuSans-73\" x=\"174.988281\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_3\">\n      <defs>\n       <path id=\"m44ffa35c58\" d=\"M 0 0 \nL -3.5 0 \n\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </defs>\n      <g>\n       <use xlink:href=\"#m44ffa35c58\" x=\"43.78125\" y=\"36.098182\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- 0.0 -->\n      <g transform=\"translate(20.878125 39.897401) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"DejaVuSans-2e\" d=\"M 684 794 \nL 1344 794 \nL 1344 0 \nL 684 0 \nL 684 794 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_4\">\n      <g>\n       <use xlink:href=\"#m44ffa35c58\" x=\"43.78125\" y=\"57.234545\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- 2.5 -->\n      <g transform=\"translate(20.878125 61.033764) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"DejaVuSans-32\" d=\"M 1228 531 \nL 3431 531 \nL 3431 0 \nL 469 0 \nL 469 531 \nQ 828 903 1448 1529 \nQ 2069 2156 2228 2338 \nQ 2531 2678 2651 2914 \nQ 2772 3150 2772 3378 \nQ 2772 3750 2511 3984 \nQ 2250 4219 1831 4219 \nQ 1534 4219 1204 4116 \nQ 875 4013 500 3803 \nL 500 4441 \nQ 881 4594 1212 4672 \nQ 1544 4750 1819 4750 \nQ 2544 4750 2975 4387 \nQ 3406 4025 3406 3419 \nQ 3406 3131 3298 2873 \nQ 3191 2616 2906 2266 \nQ 2828 2175 2409 1742 \nQ 1991 1309 1228 531 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-32\"/>\n       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n       <use xlink:href=\"#DejaVuSans-35\" x=\"95.410156\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_6\">\n     <!-- queries -->\n     <g transform=\"translate(14.798438 67.325313) rotate(-90) scale(0.1 -0.1)\">\n      <defs>\n       <path id=\"DejaVuSans-71\" d=\"M 947 1747 \nQ 947 1113 1208 752 \nQ 1469 391 1925 391 \nQ 2381 391 2643 752 \nQ 2906 1113 2906 1747 \nQ 2906 2381 2643 2742 \nQ 2381 3103 1925 3103 \nQ 1469 3103 1208 2742 \nQ 947 2381 947 1747 \nz\nM 2906 525 \nQ 2725 213 2448 61 \nQ 2172 -91 1784 -91 \nQ 1150 -91 751 415 \nQ 353 922 353 1747 \nQ 353 2572 751 3078 \nQ 1150 3584 1784 3584 \nQ 2172 3584 2448 3432 \nQ 2725 3281 2906 2969 \nL 2906 3500 \nL 3481 3500 \nL 3481 -1331 \nL 2906 -1331 \nL 2906 525 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-75\" d=\"M 544 1381 \nL 544 3500 \nL 1119 3500 \nL 1119 1403 \nQ 1119 906 1312 657 \nQ 1506 409 1894 409 \nQ 2359 409 2629 706 \nQ 2900 1003 2900 1516 \nL 2900 3500 \nL 3475 3500 \nL 3475 0 \nL 2900 0 \nL 2900 538 \nQ 2691 219 2414 64 \nQ 2138 -91 1772 -91 \nQ 1169 -91 856 284 \nQ 544 659 544 1381 \nz\nM 1991 3584 \nL 1991 3584 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-72\" d=\"M 2631 2963 \nQ 2534 3019 2420 3045 \nQ 2306 3072 2169 3072 \nQ 1681 3072 1420 2755 \nQ 1159 2438 1159 1844 \nL 1159 0 \nL 581 0 \nL 581 3500 \nL 1159 3500 \nL 1159 2956 \nQ 1341 3275 1631 3429 \nQ 1922 3584 2338 3584 \nQ 2397 3584 2469 3576 \nQ 2541 3569 2628 3553 \nL 2631 2963 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"DejaVuSans-69\" d=\"M 603 3500 \nL 1178 3500 \nL 1178 0 \nL 603 0 \nL 603 3500 \nz\nM 603 4863 \nL 1178 4863 \nL 1178 4134 \nL 603 4134 \nL 603 4863 \nz\n\" transform=\"scale(0.015625)\"/>\n      </defs>\n      <use xlink:href=\"#DejaVuSans-71\"/>\n      <use xlink:href=\"#DejaVuSans-75\" x=\"63.476562\"/>\n      <use xlink:href=\"#DejaVuSans-65\" x=\"126.855469\"/>\n      <use xlink:href=\"#DejaVuSans-72\" x=\"188.378906\"/>\n      <use xlink:href=\"#DejaVuSans-69\" x=\"229.492188\"/>\n      <use xlink:href=\"#DejaVuSans-65\" x=\"257.275391\"/>\n      <use xlink:href=\"#DejaVuSans-73\" x=\"318.798828\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 43.78125 65.689091 \nL 43.78125 31.870909 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 94.508523 65.689091 \nL 94.508523 31.870909 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 43.78125 65.689091 \nL 94.508523 65.689091 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 43.78125 31.870909 \nL 94.508523 31.870909 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n  </g>\n  <g id=\"axes_2\">\n   <g id=\"patch_7\">\n    <path d=\"M 104.653977 65.689091 \nL 155.38125 65.689091 \nL 155.38125 31.870909 \nL 104.653977 31.870909 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g clip-path=\"url(#p10fabbabed)\">\n    <image xlink:href=\"data:image/png;base64,\niVBORw0KGgoAAAANSUhEUgAAAEcAAAAvCAYAAACxF9coAAAAyUlEQVR4nO3SoQ0CQRgF4YWsBBQdnKYBFB1wggJw5Po4iaQTFBAsPRD6wEIHkzxBWDGffn+ymezkUGafEjgd98m81GGM9i2Z/vsBLTMOMA4wDjAOMA4wDjAOMA4wDjAOqLvlPDp4Xx7RfjFE86b4c4BxgHGAcYBxgHGAcYBxgHGAcYBxQF1vuujgen9F+z5at8WfA4wDjAOMA4wDjAOMA4wDjAOMA+r59owO+u3qR09pjz8HGAcYBxgHGAcYBxgHGAcYBxgHGAd8AakPDfrLFVjAAAAAAElFTkSuQmCC\" id=\"imagea56db24457\" transform=\"scale(1 -1) translate(0 -33.84)\" x=\"104.653977\" y=\"-31.849091\" width=\"51.12\" height=\"33.84\"/>\n   </g>\n   <g id=\"matplotlib.axis_3\">\n    <g id=\"xtick_3\">\n     <g id=\"line2d_5\">\n      <g>\n       <use xlink:href=\"#mb69626e224\" x=\"108.88125\" y=\"65.689091\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_7\">\n      <!-- 0 -->\n      <g transform=\"translate(105.7 80.287528) scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_6\">\n      <g>\n       <use xlink:href=\"#mb69626e224\" x=\"151.153977\" y=\"65.689091\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 5 -->\n      <g transform=\"translate(147.972727 80.287528) scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-35\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_9\">\n     <!-- keys -->\n     <g transform=\"translate(118.662926 93.965653) scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-6b\"/>\n      <use xlink:href=\"#DejaVuSans-65\" x=\"54.285156\"/>\n      <use xlink:href=\"#DejaVuSans-79\" x=\"115.808594\"/>\n      <use xlink:href=\"#DejaVuSans-73\" x=\"174.988281\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_4\">\n    <g id=\"ytick_3\">\n     <g id=\"line2d_7\">\n      <g>\n       <use xlink:href=\"#m44ffa35c58\" x=\"104.653977\" y=\"36.098182\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_8\">\n      <g>\n       <use xlink:href=\"#m44ffa35c58\" x=\"104.653977\" y=\"57.234545\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"patch_8\">\n    <path d=\"M 104.653977 65.689091 \nL 104.653977 31.870909 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_9\">\n    <path d=\"M 155.38125 65.689091 \nL 155.38125 31.870909 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_10\">\n    <path d=\"M 104.653977 65.689091 \nL 155.38125 65.689091 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_11\">\n    <path d=\"M 104.653977 31.870909 \nL 155.38125 31.870909 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n  </g>\n  <g id=\"axes_3\">\n   <g id=\"patch_12\">\n    <path d=\"M 162.35625 90.36 \nL 166.51425 90.36 \nL 166.51425 7.2 \nL 162.35625 7.2 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <image xlink:href=\"data:image/png;base64,\niVBORw0KGgoAAAANSUhEUgAAAAYAAAB0CAYAAACmJkOCAAAAyElEQVR4nM2WSwrEMAxDXcj9zzqbblp/egG/gEII02WEJMt2Qq+6f2XNN6yyO7dhGQQQo1qLFY9ij30AB5Rz6B7uIqNQKkiKAUwuAyRV8e6SmjTxgAcy5An+qTkD+vrQNVgw15sI5qWXi909kLwCpTCgDPgB83dfuXpVFDAD3vakR18H3KEqWJKJVCBAyTEgSukBw2WP9thsJP0zOAEoFcjoz22EUQ5kyFVhwH5BZx4MkBQ2Ee7mhAEjX2E88sxRCluyYg4MquoD0XoQUGMmzEcAAAAASUVORK5CYII=\" id=\"image71e542408c\" transform=\"scale(1 -1) translate(0 -83.52)\" x=\"162\" y=\"-6.48\" width=\"4.32\" height=\"83.52\"/>\n   <g id=\"matplotlib.axis_5\"/>\n   <g id=\"matplotlib.axis_6\">\n    <g id=\"ytick_5\">\n     <g id=\"line2d_9\">\n      <defs>\n       <path id=\"mabd0d28797\" d=\"M 0 0 \nL 3.5 0 \n\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </defs>\n      <g>\n       <use xlink:href=\"#mabd0d28797\" x=\"166.51425\" y=\"90.36\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- 0.0 -->\n      <g transform=\"translate(173.51425 94.159219) scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_10\">\n      <g>\n       <use xlink:href=\"#mabd0d28797\" x=\"166.51425\" y=\"67.206733\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 0.2 -->\n      <g transform=\"translate(173.51425 71.005952) scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n       <use xlink:href=\"#DejaVuSans-32\" x=\"95.410156\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_7\">\n     <g id=\"line2d_11\">\n      <g>\n       <use xlink:href=\"#mabd0d28797\" x=\"166.51425\" y=\"44.053466\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 0.4 -->\n      <g transform=\"translate(173.51425 47.852685) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"DejaVuSans-34\" d=\"M 2419 4116 \nL 825 1625 \nL 2419 1625 \nL 2419 4116 \nz\nM 2253 4666 \nL 3047 4666 \nL 3047 1625 \nL 3713 1625 \nL 3713 1100 \nL 3047 1100 \nL 3047 0 \nL 2419 0 \nL 2419 1100 \nL 313 1100 \nL 313 1709 \nL 2253 4666 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n       <use xlink:href=\"#DejaVuSans-34\" x=\"95.410156\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_8\">\n     <g id=\"line2d_12\">\n      <g>\n       <use xlink:href=\"#mabd0d28797\" x=\"166.51425\" y=\"20.9002\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 0.6 -->\n      <g transform=\"translate(173.51425 24.699418) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"DejaVuSans-36\" d=\"M 2113 2584 \nQ 1688 2584 1439 2293 \nQ 1191 2003 1191 1497 \nQ 1191 994 1439 701 \nQ 1688 409 2113 409 \nQ 2538 409 2786 701 \nQ 3034 994 3034 1497 \nQ 3034 2003 2786 2293 \nQ 2538 2584 2113 2584 \nz\nM 3366 4563 \nL 3366 3988 \nQ 3128 4100 2886 4159 \nQ 2644 4219 2406 4219 \nQ 1781 4219 1451 3797 \nQ 1122 3375 1075 2522 \nQ 1259 2794 1537 2939 \nQ 1816 3084 2150 3084 \nQ 2853 3084 3261 2657 \nQ 3669 2231 3669 1497 \nQ 3669 778 3244 343 \nQ 2819 -91 2113 -91 \nQ 1303 -91 875 529 \nQ 447 1150 447 2328 \nQ 447 3434 972 4092 \nQ 1497 4750 2381 4750 \nQ 2619 4750 2861 4703 \nQ 3103 4656 3366 4563 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#DejaVuSans-30\"/>\n       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n       <use xlink:href=\"#DejaVuSans-36\" x=\"95.410156\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"LineCollection_1\"/>\n   <g id=\"patch_13\">\n    <path d=\"M 162.35625 90.36 \nL 164.43525 90.36 \nL 166.51425 90.36 \nL 166.51425 7.2 \nL 164.43525 7.2 \nL 162.35625 7.2 \nL 162.35625 90.36 \nz\n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p0b35030692\">\n   <rect x=\"43.78125\" y=\"31.870909\" width=\"50.727273\" height=\"33.818182\"/>\n  </clipPath>\n  <clipPath id=\"p10fabbabed\">\n   <rect x=\"104.653977\" y=\"31.870909\" width=\"50.727273\" height=\"33.818182\"/>\n  </clipPath>\n </defs>\n</svg>\n"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 3
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-17T02:40:50.810036Z",
     "start_time": "2025-10-17T02:40:50.799300Z"
    }
   },
   "cell_type": "code",
   "source": [
    "from torch import nn\n",
    "embedding = nn.Embedding(1000, 512)\n",
    "X = torch.tensor([42])\n",
    "output = embedding(X)\n",
    "output.shape\n"
   ],
   "id": "98533685fa39d2f4",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "torch.Size([1, 512])"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 4
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-17T03:19:39.527357Z",
     "start_time": "2025-10-17T03:19:39.506758Z"
    }
   },
   "cell_type": "code",
   "source": [
    "import torch\n",
    "import torch.nn as nn\n",
    "\n",
    "layer_norm = nn.LayerNorm(normalized_shape=128)\n",
    "\n",
    "  # 输入数据 (batch_size=32, seq_len=10, feature_dim=128)\n",
    "x = torch.randn(32, 10, 128)\n",
    "\n",
    "  # 前向传播\n",
    "output = layer_norm(x)\n",
    "print(f\"输入形状: {x.shape}\")\n",
    "print(f\"输出形状: {output.shape}\")\n",
    "print(f\"可学习参数数量: {sum(p.numel() for p in layer_norm.parameters())}\")\n"
   ],
   "id": "70b7980dea38b090",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "输入形状: torch.Size([32, 10, 128])\n",
      "输出形状: torch.Size([32, 10, 128])\n",
      "可学习参数数量: 256\n"
     ]
    }
   ],
   "execution_count": 7
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
